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?

(In reply to Possible solution by Harry)

The solutions (or not solutions) posted till now, start from the fact that the sum of the three numbers is 144, which C didnīt know and only deduce it at the second round. Nobody shows how C achieve this number.

Posted by pcbouhid on 2009-05-03 20:23:57