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Three guys, three numbers (Posted on 2009-05-01) Difficulty: 3 of 5
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?

See The Solution Submitted by pcbouhid    
Rating: 4.0000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionre(4): Possible solution (spoiler) THATS WHYAdy TZIDON2009-05-16 05:42:00
What'd she know, and when did she know it??ed bottemiller2009-05-05 12:50:49
re(6): Possible solution (spoiler)Praneeth2009-05-04 11:11:15
re: guys or dolls ??pcbouhid2009-05-04 10:52:01
re(5): Possible solution (spoiler)pcbouhid2009-05-04 10:46:19
Some Thoughtsguys or dolls ??Ady TZIDON2009-05-04 08:02:02
re(4): Possible solution (spoiler)Dej Mar2009-05-04 02:37:38
re(3): Possible solution (spoiler)pcbouhid2009-05-03 23:58:19
re(2): Possible solution (spoiler)Dej Mar2009-05-03 21:03:33
re: Possible solutionpcbouhid2009-05-03 20:23:57
Possible solutionHarry2009-05-03 15:18:34
Some ThoughtsEliminating two possibilities...Dej Mar2009-05-01 23:49:20
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