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Topic: Determine the missing number (Read 5887 times) |
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gong
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Posts: 3
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A real hard one, I have not found out the answer yet. Terribly curious now, hope your guys can solve it!
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ThudnBlunder
wu::riddles Moderator Uberpuzzler
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Re: Determine the missing number
« Reply #1 on: May 6th, 2004, 8:05am » |
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Quote: My answer can't be right then. :60 + 43 + 55 + 30 + 42 + 47 + 62 + 74 + 42 + 41 + 57 + 49 + 66 + 33 + 56 = 757 Perhaps the answer is meant to make the total area a perfect square. The next highest square number = 784 = 282 Hence smallest solution = 784 - 757 = 27
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« Last Edit: May 6th, 2004, 10:17am by ThudnBlunder » |
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towr
wu::riddles Moderator Uberpuzzler
Some people are average, some are just mean.
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Re: Determine the missing number
« Reply #2 on: May 6th, 2004, 9:48am » |
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The numbers don't really seem to correspond with the area from the looks of things.. Maybe circumference.. hmm
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Wikipedia, Google, Mathworld, Integer sequence DB
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gong
Newbie
Posts: 3
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Re: Determine the missing number
« Reply #3 on: May 6th, 2004, 1:10pm » |
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Intuitively, I think the number in each patch should be dertermined by those numbers surrounding it and the contacting sides may have some relation with the wigtht of each number. I have tried the cases I could envision, all failed flatly, . Maybe the shape of patch, in addition to the number of sides, also plays a role in it.
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« Last Edit: May 6th, 2004, 1:11pm by gong » |
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ThudnBlunder
wu::riddles Moderator Uberpuzzler
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Re: Determine the missing number
« Reply #4 on: May 7th, 2004, 3:21am » |
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It could be argued that the numbers are in proportion to their perimeters. However, 49 seems too large. And 62 and 66 seem too small compared with 55, 56, and 57.
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« Last Edit: May 12th, 2004, 9:00am by ThudnBlunder » |
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THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you.
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phobos
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Re: Determine the missing number
« Reply #5 on: May 12th, 2004, 7:01am » |
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My guess (not me, really (is my friend who'd solved it (but I thought it would be cool to post a solution (and don't forget, in this way I won't look bad for posting a wrong answer)))) would be any number . Take any three touching pieces (a,b,c), sum of the differences: (b-a) and (c-a) will always constitute to the difference (b-c). Solution is credited to my witty friend Mr. Ukrit Mankong.
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« Last Edit: May 12th, 2004, 7:02am by phobos » |
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gong
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Re: Determine the missing number
« Reply #6 on: May 12th, 2004, 7:49am » |
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thanks a lot, phobos! I am convinced it is the answer. Your friend is really a genius! The answer should be 49.
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TenaliRaman
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I am no special. I am only passionately curious.
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Re: Determine the missing number
« Reply #7 on: May 14th, 2004, 10:57am » |
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u sure there phobos? (a,b,c)=(33,56,57) b-a=56-33=23 c-a=57-33=24 sum of b-a and c-a = 47 != b-c? and if u meant difference of b-a and c-a, then its no surprise for any three numbers a,b,c (b-a)-(c-a)=b-a-c+a=b-c
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phobos
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Re: Determine the missing number
« Reply #8 on: May 14th, 2004, 3:39pm » |
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Oh dear you're absolutely right Tenali!! Man that's embarrassing
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Three Hands
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Re: Determine the missing number
« Reply #9 on: May 14th, 2004, 5:11pm » |
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Back to square one, then...
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Grimbal
wu::riddles Moderator Uberpuzzler
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Re: Determine the missing number
« Reply #10 on: May 17th, 2004, 4:12pm » |
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There is no 1. There must be a 1. The missing number is 1. proof: http://www.maybach.ru/en/news_418.html (Rolls-Royce opens at 1, Red Square)
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ThudnBlunder
wu::riddles Moderator Uberpuzzler
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Re: Determine the missing number
« Reply #11 on: May 19th, 2004, 5:05am » |
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on May 17th, 2004, 4:12pm, grimbal wrote:There is no 1. There must be a 1. The missing number is 1. |
| There is no 8. There must be an 8. The missing number is 8.
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Leo Broukhis
Senior Riddler
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Re: Determine the missing number
« Reply #12 on: May 19th, 2004, 7:06pm » |
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A few random observations. The "lengths" of sides (computed as sums of values of pieces touching a side) are 240, 170 (full), 179 + ?, and 89 + ?. 240 - 179 = 61, 170 - 89 = 81. The sum of pieces that do not touch a side is 227, which is, incidentally, a prime. The sum of the remaining pieces is 530 + ?. And what about the fact that the only two pieces locked together (in 2D) are 66 and the missing one?
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