Lenny Conundrum

Every week, The Neopets Team releases a new Lenny Conundrum puzzle, and each week that puzzle gets posted on our blog. You can discuss with others the answer in the comments and come up with a solution! We also discuss the Mystery Picture Answers aswell!

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Wednesday, October 26, 2011

Lenny Conundrum - Round #426

Rohane decided to put Mipsy to the test using a complicated maths problem he learned from a wise old sage on some adventure somewhere, he forgets exactly.



"Twelve plus twelve plus twelve plus twelve plus twelve plus thirty equals ninety," he said. "But it also equals another number. If you can tell me that number, you can skip cleaning duty tonight." Mipsy HATED cleaning duty! I mean, really, who likes cleaning duty?



She's clever, though, and was on to his game. She came up with the following forumla and knew she was on the right track:




So, what number gets Mipsy out of cleaning duty?

Enter just the number, without punctuation, or your answer will be marked wrong!

149 comments :

  1. What did you get, LennyC SolveR?

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  2. Took me a wee bit but I got there. Hope I did it quickly enough *fingers crossed*

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  3. Ok, I have absolutly no clue about this...

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  4. whats the answer you got?

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  5. Do we have to count the number of letters in the ""Twelve plus twelve plus twelve plus twelve plus twelve plus thirty" ?
    LOL I absolutely have no idea, that would be too easy I guess...

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  6. If you got it, care to share the answer ?

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  7. If you got it, care to share the answer ?

    ---

    Yeah that would be pretty cool...

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  8. Somone told me to just stare at it for a whle and i'd get it. e_o

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  9. oh yah Anonymous comment 2 posting here w/o providing the answer... learn the internet.

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  10. *facepalm* nice try troll

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  11. holy crap it's the answer to the Wishing Well Avatar :o

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  12. I don't know the answer to the puzzle... but dude I got the ww avatar.

    So like :DDDDDDDDDD !!!!!!!

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  13. How did you guys get the WW avvie?

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  14. Yeah of course we believe you...

    Post is on the AC with screenie, THEN, we'll know if it's true.

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  15. Anything to do with roman numerals?

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  16. Tell us the number that you entered and post a screenie with the avatar.

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  17. The answer is 42.

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  18. guys if ur gonna post an answer at LEAST show the work

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  19. 7*6=42 but that's too easy :S

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  20. how did u get those numbers?

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  21. ^ dude its 6 by 6

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  22. L = 50
    V = 5
    I = 1

    Or am I way off the mark?

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  23. columns by rows based on the equation mipsy wrote

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  24. could the answer be
    1+2+1+2+1+2+1+2+1+2+3+0=18

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  25. That involves no punctuation.

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  26. 12+12+12+12+12+30/90? lol

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  27. this isnt a reliable source anymore. I hate it. I quit.

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  28. so um i put 102 because if you see there is 6 12's... lol one going diagonal

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  29. so um i put 102 because if you see there is 6 12's... lol one going diagonal
    --
    TWELVY?

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  30. Oh I see it now. Left to right from the T in Thirty

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  31. 39?

    I'm just guessing now.

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  32. ^ That sounds like an evil bitch thing TNT would do.

    Alternatively, they can not be bitchy and accept my answer.

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  33. the answers twelve?

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  34. Could it be 121212121230? Kinda obvious, but just a possibility. And it would require them to tell us not to include punctuation. 121,212,121,230

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  35. guys think. if it keeps the 6 letter pattern then it could be eleven, or twenty. idk what to do. 12*12*12*12*12*30=7464960 or something like that XD

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  36. The answer is 15.

    Add all of the numbers up including 90. You should have 180. Then you can see the diagonal twelve (t in thirty) and the diagonal in Math means to divide. 180/12 = 15. nuffsed

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  37. But in math, the diagonal wouldn't be the actual number 12, it would just be a line. You don't see a number ever written diagonally. And why would you need to add up 90?

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  38. its wrong for me....

    if you use 0-9 numbers,

    5e+y=y so, e can be 2,4,6,8

    if its 2, your answer is 10, 4 is 20, 6 is 30 and 8 is 40

    so to the formula:
    5v+t=t you have to add (1,2,3 or 4)

    5v+t+(1,2,3 or 4)=t so

    5v+(1,2,3 or 4)=0 (i canceled the t)

    5*1= 5 (if you add 1 or 2 or 3 or 4) you dont get 0
    5*2 10 (if you add 1 or 2 or 3 or 4) you dont get 0
    you can do this with all the numbers but you wont get a number from 0-9 that multiplied by 5 and added (1,2,3 or 4) is equal to a 0 multiple

    Or is wrong or the numbers are not from 0-9

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  39. the answer is 1
    add up all the numbers except 90 and u get 90/90 which =1

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  40. Can you use the letter to spell different "number" words? I see ELEVEN, but I don't know what to do with the left over I.

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  41. This comment has been removed by the author.

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  42. Each letter equals a different number. What numbers do the letters NINETY represent?

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  43. I think it is simple: 12
    Because All of words create Twelve diagonally. *shrug* I don't know how close it is... but that is my guess this week.

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  44. OHHH YEAHHH i feel like freddie mercury in front of juestin biever!! i know the answer!!! neomail me crum_royal, i just got it with a litle bit of brain and programation, if you want to get the answer here can you have some help


    #include
    #include

    using namespace std;

    int main(int argc, char *argv[])
    {
    int a=0,b=0,c=0,d=0,e=0,f=0,g=0,h=0;
    for(a=0;a<10;a++){
    for(b=0;b<10;b++){
    for(c=0;c<10;c++){
    for(d=0;d<10;d++){
    for(e=0;e<10;e++){
    for(f=0;f<10;f++){
    for(g=0;g<10;g++){
    if(600000+a*50000+b*500+c*50+d*10000+e*1000+f*100 == g*101000+e*10000 && a!=b && a!=c && a!=d && a!=e && a!=f && a!=g && b!=c && b!=d && b!=e && b!=f && b!=g && c!=d && c!=e && c!=f && c!=g && d!=e && a!=1 && b!=1 && c!=1 && d!=1 && e!=1 && f!=1 && g!=1 ){
    std::cout << a << " " << b <<" "<< c << " " << d << " " << e << " " << f << " " << g << std::endl;
    }
    }
    }
    }
    }
    }
    }
    }
    return 0;
    }



    assuming T=1 E=0, and variables a=W,b=L,c=V,d=H,e=I,f=R,g=N

    :D

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  45. twelve... since there is a diagonal twelve and that seems important somehow

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  46. I think its 1

    90/90

    I don't know though. Meh.

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  47. Actually, that's just coincidence. xD

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  48. brian, why did you use namespace std, but yet you still used std::cout?

    AMATEUR C++ PROGRAMMER LOL

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  49. well, i will give you guys a hint
    1 W 0 L V 0
    1 H I R T Y
    -----------
    N I N 0 T Y

    neomail me crum_royal, i know the answer

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  50. ...Brian, that's completely wrong. -______-

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  51. yes, it was
    1 W 0 L V 0
    1 H I R 1 Y
    -----------
    N I N 0 1 Y
    sorry

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  52. the thing is if we change every letter with a number from 0 to 9 without repeating, there is a specific combination that gives you the answer,
    brian

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  53. But it also equals another number. If you can tell me that number, you can skip cleaning duty tonight.

    It's the diagonal twelve. No math.

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  54. finally got the answer through algebra and my calculator. If it wasn't already clear, N can only be 7, 8 or 9.

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  55. 1 W 0 L V 0
    1 H I R 1 Y
    -----------
    8 I 8 0 1 Y

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  56. @brian i actually got a different answer. my N is 7 and I used all numbers and did not repeat.

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  57. here is the program result
    http://codepad.org/VqMQi0LY

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  58. argh i entered in the wrong number for I, my mistake. i read the wrong number in the calculator!!

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  59. so it is with 7 or 8 ?? i verified my answer 3 times XD

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  60. All of you guys SUCK MY DICK !!! Fucking nerds - the answer is clearly 1 !

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  61. lol youre a fucking stupid angry idiot

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  62. it should be 8. i misread one 0 on my calculator.

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  63. You know you want my semen streaming down your chin Brian...

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  64. Ahh, sorry Brian. You're right. Got a bit confused up there... =P

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  65. or do you swallow ???

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  66. How can N = 8 when there are 6 "T's" stacked on top of it and you said T = 1? What am I missing?

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  67. You've got the wrong approach. Each letter represents a single digit; the formation/"stacking" has nothing to do with it.

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  68. my Y is 5. anyone else get that?

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  69. I've got what E, T, N and I equal, but how do you isolate Y??? The only thing you can deduct is that Y = Y, right?

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  70. Figure out the other 9 letters. Y is what is left.

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  71. It is clearly 120.

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  72. You guys are over-thinking.

    The answer is 12

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  73. Twelve plus twelve plus twelve plus twelve plus twelve plus thirty equals ninety in NUMBER form

    But they CLEARLY spelled out the words (to create a diagonal TWELVE - left to right)

    And it takes all 5 twelves and 1 thirty (the words) to make a diagonal TWELVE.

    Therefore, it's a trick question.

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  74. The Y was there to throw you off. If you look the other way, it still spells Twelve across the board diagonally.

    My two cents. Ya'll are waaay overthinking. Sometimes trick questions are the ones that make you feel the stupidest.

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  75. Really, overthinking?

    This is a classic style problem where the 10 letters correspond to the 10 different digits. The task is to figure out which letter stands for each digit so as to make the math problem true when you substitute the digits for the letters.

    Now, it took me close to an hour to solve it, but the structure of the problem was obvious at first glance.

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  76. I do not get this at all. someone explain? My user is babygirlclo

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  77. But it might not even have to BE math. Hence why it COULD be a trick question - not saying it is. They used numbers in the actual equation but then switched to letters and lined them up specifically to spell out the word Twelve.

    Those four twelves, and one ninety, equalled (spelled out, twelve)

    It didn't say it had to be a math problem. The original number problem was math but then it switched to a cleverly designed word problem - which, like I said, could be a trick question considering those six NUMBERS added together add up to a NUMBER but when they switch it to a word problem, it might not even be a number at all but a riddle.

    Don't insult my intelligence. You can try to pull numbers out of thin air and give every letter a 0-10 corresponding number but, I am simply saying that you never know with these things.

    I took three years of pre-cal. I need no help doing the math problem, I am just reading between the lines.

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  78. Pre-cal and calculus, I mean*

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  79. *Those four twelves, and one thirty

    Lordy, this has got my brain confused so much that I can't type straight.

    All in all, I'm saying that yes, it could be a math problem

    OR

    It could be a riddle. It looks/sounds like a riddle.

    So I'mma go with that.

    12.

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  80. I went with twelve also.

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  81. 848015

    T=1
    W=3
    E=0
    L=7
    V=6
    R=2
    N=8
    I=4
    Y=5
    H=9

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  82. I dont understand how you got that.

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  83. i understand how you got

    848015

    T=1
    W=3
    E=0
    L=7
    V=6
    R=2
    N=8
    I=4
    Y=5
    H=9
    but that requires you to assume e=0 to determine the rest. doesnt it?

    e could also be 2,4,6,8

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  84. I think it's SEVENTY because there are Seven T's

    Just my opinion

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  85. NowHatesThisBlog27 October 2011 at 01:37

    this website sucks now :( all the good people never post ( for example Dusk and THE ACTUAL OWNER of this stupid blog :( Im soo deleting this out of my toolbar >:(

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  86. 102 because there is another 12 going from bottom left to top right diagonally. 6x12+30= 102

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  87. 36 is the answer according to TNT so believe me or not because I bothered to check the URL when it said true after I submitted my answer.

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  88. 36 is the answer according to TNT so believe me or not because I bothered to check the URL when it said true after I submitted my answer.

    Dumbass that just means it was sent.
    The answer is 102.

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  89. Dumbass sucks dicks !!!

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  90. the number's gotta be over 1000 as TNT says

    Enter just the number, without punctuation

    for example 1000 - not 1,000 or 1.000
    or maybe I'm wrong...

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  91. Easy 102 look at it this way

    TWELVE
    + TWELVE
    + TWELVE
    + TWELVE
    + TWELVE
    + THIRTY = 90
    But if you look there is a diagonal twelve(t from thirty to e from the first twelve)which makes it 102 =)

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  92. http://bach.istc.kobe-u.ac.jp/cgi-bin/crypt.cgi?crypt=twelve%2Btwelve%2Btwelve%2Btwelve%2Btwelve%2Bthirty%3Dninety&crypt1=llp%2Blinear%2Blogic%3Dprolog

    Alphametic puzzles aren't a Neopian invention, people. Google knows all.

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  93. HAHAHAHA I GOT IT. YOU GUYS DONT KNOW THE RIGHT TECHNIQUE. I DO. SO HA

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  94. Pff, I can't choose... I'm almost sure it's 102, but the whole 'no punctuation' thing trows me off. Because that would point to the 848015 answer.

    And the thing that also worries me about the answer 102 is: why would they put the ninety in the formula?
    --Annebeth--

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  95. i am soooo confused how do you get all this numbers what about matching numbers with letters adding it like this A=1 B=2 ?

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  96. looks like I'm going to be the only one who gets the LC prize this week because the answer is so oblivious that you'd have to be to arrogant to get it p.s. only posted one other comment

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  97. its 102 because its 90 PLUS the diagonal extra 12

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  98. Here's the reasoning for why E=0.
    Let each letter represent an integer from 0 to 9.
    Assume E =/= 0. Now, consider 5E+Y = 10a+Y for some a (a is the number that is "carried" to the next column). 5E = 10a => E=2a => E is even, and E=/=0, so E=2,4,6, or 8. Also, 5E=10, 20, 30, or 40, so a cannot be 0. Now, 5V+T+a = 10b+T for some b. 5V+a = 10b. However, 5V + (1, 2, 3, or 4) cannot equal 10b for any integers. Therefore, a must be a multiple of 5 (0 or 5). Since E=2a, and E is between 0 and 9, E=0 because E=/= 10.

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  99. I had a bit of faulty proof method, so here's errata:
    Assume E is an integer between 0 and 9, instead of E=/=0.
    Change "E is even, and E=/=0...a cannot be 0" -> E is even, so E=2k for some integer k, so E can only be 0, 2, 4, 6, or 8.
    "5V + (1, 2, 3, or 4)" -> 5V+a = 10b => a=10b-5V=5(2b-V), so a is a multiple of 5. The only a that is a multiple of 5 that fulfills a=0,1,2,3,4 is 0. Therefore, a=0.

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  100. If a is 0, then 5E + Y < 10. The only E that fits this criteria is 0, so E=0.

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  101. Just using logic and arithmetic, you can solve this problem. Apparently a lot of people who visit this site to look for answers just go "blah blah blah what am I saying I will talk for talking's sake"

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  102. Someone was wondering about the why is E=0 and not 2,4 or so.

    It has to be 0 because:
    5E+Y=Y

    Only 0 works to make that one true, right? Right. : )

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  103. T is probably the easiest to solve next:
    6T + d (number "carried from previous column) = N.
    Since E=0, T>=1. If N is a single digit nonnegative number, then N < 10, and if T>=2, N>=10, so T can only be 1.

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  104. To the comment two places above, you are forgetting that Y is only the ones digit of 5E+Y, read my proof above.

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  105. Answer is 848015

    Twelve is 130760
    Thirty is 194215

    The puzzle is about The Doubly-True Genre ... Check it out XD

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  106. did you all add the twelve 5 times,
    i know you got t as 1 ect, but then you'd still need to add all of the twelves ie the problem would become 130760 plus 130760 plus 130760 ect

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  107. I think it would be 1 because you add 12+12+12+12+12+30=90. Then it has a line over the 90. 90/90=1

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  108. The answer is definitely not 848015,
    for using the same system, 848010 to 848019 should all work

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  109. Oh never mind, 848015 is the answer... I didn't know that the digits can't repeat.

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  110. I'm going with 12.
    Because I don't think they'd post a calculus level question on a website that is supposed to be for elementary school children.
    Just saying, these things are usually riddles.

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  111. I said 12 too. It's a riddle, not an equation.

    The words

    Twelve
    Twelve
    Twelve
    Twelve
    Thirty

    Add up to what? A a diagonol Twelve going bottom left to top right. Hence, why they made it a word problem and lined it up as such.

    I posted this before and I'll do it again. Ya'll are overthinking and obviously have never heard of a riddle.

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  112. Oops, meant to put another Twelve in there

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  113. Do the maths guys, it's the only foolproof way. It has been worked out already, just use algebra and trial and error! You really do not need calculus, just some adding skills and great patience. If there is an answer in the mathematical approach then it is correct! It can't be that coincidental.
    This question is a good one, it is challenging for once. But I wish people didn't post the answers up so soon. At least give others a day to work it out themselves. Some people from the other side of the globe have to go to school when TNT posts a new conundrum :(

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  114. What's wrong with you guys. STOP ASSIGNING USELESS NUMBERS FROM 0-9 TO THESE LETTERS. if that's the case it could be ANYTHING.

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  115. Does anyone even think for a second instead of 10 numbers, each letter could be associated with it's place in the alphabet? For example: e=5
    l=12 and so on. then add them down the columns and carry when necessary.

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  116. If the answer was the twelve that goes diagonally up the side, they could have used any six letter number that starts with T, not just thirty. (eg twelve, twenty)

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  117. Guys? It's not a calculus level question. It's actually extremely simple, when you get down to it; just takes a while to figure out. The guys before me have the right idea--if anything, everyone else is "under"-thinking.

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  118. And no, it's not a riddle. Time to whip out the pencils/erasers and do some logical. thinking---not abstract thinking!

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  119. who said riddles can't be mathematical? :)

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  120. I solved it using variables. Got an answer.

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  121. hey someone check out my blog at www.maroonunicorn.blogspot.com and leave a comment

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  122. The puzzle is about The Doubly-True Genre, as stated above me. But, they forgot to take into consideration that there is another TWELVE stretching from the bottom left to top right. Which would add 130760 to their original answer of 848015, making the actual answer 978775.

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  123. Thanks! It was easy enough to deteremine E=0, if only because any other answer for 5E+Y=Y ruined the next column. I was going the wrong way on N, though.

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  124. wouldn't it be 12+12+12+12+12+20 divided by 90? so 1.

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  125. I think people are thinking way too much into this, I put 12 for the diagonal 12

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  126. I doubt the answer could be 1 as the use of words rather than numbers indicates it is not simply 12+12+12+12+12+30/90.
    I agree with the answer being simply 12 because of the diagonal 12 (however, this theory hardly makes sense but I have no other suggestions :P )

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  127. LOOK EVERYONE answer ish 42 :D!!!!!

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  128. The Anonymous comment from 30 October 2011 13:46 just made me smack my forehead. Do'h!! Considering TNT just loves to mess with us, I wouldn't be surprised.

    But wait, actually, I would be. those who say we're "overthinking" it should take a better look at the image they provided. They specifically spaced out the columns between letters. Why not keep it closer together if they just wanted you to figure out there's another 12 in there? They didn't give us the letters to point at the additional tweleve, they gave us the letters as a visual hint for how to SOLVE the problem.

    "What's wrong with you guys. STOP ASSIGNING USELESS NUMBERS FROM 0-9 TO THESE LETTERS. if that's the case it could be ANYTHING."

    A) Numbers aren't useless
    B) It couldn't be anything, there's only one correct solution if solved in this manner
    C) Obvious troll is obvious

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  129. I've done this kind of puzzle before, but I forgot how to solve it... I think its 36, since there are thirty-six letters not including ninety

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  130. Well, I have to agree that assigning numbers to letters for this one is useless. It's plain up stupid. As if tnt is gonna make the question that friggin difficult. Overthinking? Definitely.

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  131. I got 30. There's 5x6(letters in each word) = 30. Sounds reasonable enough seeing as it was deliberately printed out in letters. Could be 6 though if 90 has something to do with it.

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  132. I missed a whole word -_-. Fail.

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  133. It was 848015, I solved it and got a prize :)

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  134. Yup, 848015. All those people saying TNT wouldn't make it so hard should check out past conundrums. They do it regularly.

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  135. "Overthinking? Definitely."

    ...lol. Please stop under-thinking next time. xD

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  136. How was it 848015 though?

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  137. It's a bit complicated to explain here, but through a series of logical steps, you can get the answer. For example, the most obvious value to solve is the T. Since it has the greatest value in the hundred-thousands place, you can easily determine that T=1 because any greater number would make the value of NINETY a seven digit number instead of a six digit number.

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