Two Numbers Puzzle-Asked in Amazon interviews.

Question:

Ben has 2 integers. He tells sum of the integers to the person S and product of those numbers to P.Now there is this conversation between S and P.

S: I don’t know what the numbers are

P: Neither do I

S: Now, I know what the numbers are.

P: Hey, me too.

Assuming S and P to be very wise and good in mathematics, What are those two integers?

Solution: The two numbers are 2 and 2.

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