Mr. S and Mr. P

Number Theory Level 4

There are two integers, x and y, both of them are valued between 2 and 99 (inclusive)

Mr. S only knows the sum of the two numbers, while Mr. P only knows the product of the two numbers.

Mr. S told Mr. P, "I know you won't know what the two numbers are."

Then Mr. P said "Now I know what are they."

Followed by Mr. S "I get it now."

What is the product of the two numbers?


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