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Two perfect logicians, S and P, are told that natural numbers x and y have been chosen. S is given the value x+y and P is given the value xy. They then have the following conversation.P: I cannot determine the two numbers.S: I knew that.P: Now I can determine them.S: So can I.Given that the above statements are true, what are the two numbers?

Arbit Tibra , 13 Years ago
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Amitabh Shrivastava

Last Activity: 13 Years ago

The above puzzle circulated over various mailing lists 32 years ago.

The answer is X=2 Y=3 the logical approach is a bit tricky and will consume a lot of space if you want it feel free to contact although I insist you try it yourself. An imp point to understand is that Poduct cant be prime.

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