Sum Things are Products of Twisted Minds
Two people, named S and P, are talking about two numbers x and y, with x and y both integers greater than or equal to 2. S knows their sum (x+y), while P knows their product (xy); however, initially NEITHER knows x and y.
S: Hey P! I don’t know what the numbers are.
P: I’m not surprised. I KNEW you didn’t know. However, I too don’t know.
S: You don’t? Really! Then I know what the numbers are!
What are the two numbers?
Communicated by Kathryn Sievers.
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