Puzzle
X and Y are two different integers, greater than 1, with sum less than 100. S and P are two mathematicians; S knows the sum X+Y, P knows the product X*Y, and both know the information in these two sentences. The following conversation occurs.
- P says "I cannot find these numbers."
- S says "I was sure that you could not find them. I cannot find them either."
- P says "Then, I found these numbers."
- S says "If you could find them, then I also found them."
What are these numbers?
Read more about this topic: Impossible Puzzle
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