X
and Y are two different integers, greater than 1, with sum less than
100. Sassy and Patrick are two mathematicians; Sassy knows the sum X+Y,
Patrick knows the product X*Y, and both know the information in these
two sentences. The following conversation occurs.
Patrick says "I cannot find these numbers."
Sassy says "I was sure that you could not find them. I cannot find them either."
Patrick says "Then, I found these numbers."
Sassy says "If you could find them, then I also found them."