Wednesday, May 4, 2016

Sum of Hats Puzzle

There are 3 people Abel, Bill and Clark. Three of them have numbers written on their hats. They can see the numbers on the other two hats but not their own. The sum of numbers on any two 2 hats is equal to the number on the third hat. They are given this information and asked in turn if they can identify their number.
In the first round Abel, Bill and Clark each in turn say they don’t know. In the second round Abel is first to go and states his number is 50. What numbers are on Bill and Clark?

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