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 Three guys, three numbers (Posted on 2009-05-01)
Three logical people, A, B, and C, are wearing hats with positive integers painted on them. Each person sees the other two numbers, but not her own, and each person knows that the numbers are positive integers and that one of them is the sum of the other two.

They take turns (A, then B, then C, then A, etc.) in a contest to see who can be the first to determine her number.

During round one, A, B, and C pass. In round two, A and B again pass, at which point C states that she now knows all three numbers and that their sum is 144.

How did C figure this out?

 Submitted by pcbouhid Rating: 4.0000 (2 votes) Solution: (Hide) The numbers are 18, 54 and 72. The problem can be found here and the solution here.

 Subject Author Date re(4): Possible solution (spoiler) THATS WHY Ady TZIDON 2009-05-16 05:42:00 What'd she know, and when did she know it?? ed bottemiller 2009-05-05 12:50:49 re(6): Possible solution (spoiler) Praneeth 2009-05-04 11:11:15 re: guys or dolls ?? pcbouhid 2009-05-04 10:52:01 re(5): Possible solution (spoiler) pcbouhid 2009-05-04 10:46:19 guys or dolls ?? Ady TZIDON 2009-05-04 08:02:02 re(4): Possible solution (spoiler) Dej Mar 2009-05-04 02:37:38 re(3): Possible solution (spoiler) pcbouhid 2009-05-03 23:58:19 re(2): Possible solution (spoiler) Dej Mar 2009-05-03 21:03:33 re: Possible solution pcbouhid 2009-05-03 20:23:57 Possible solution Harry 2009-05-03 15:18:34 Eliminating two possibilities... Dej Mar 2009-05-01 23:49:20

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