Difficult Puzzle of Sum and Product
Sum Sam and Product Pete are in class when their teacher gives Sam
the Sum of two numbers and Pete the product of the same two numbers
(these numbers are greater than or equal to 2). They must figure out the
two numbers.
Sam: I don’t know what the numbers are Pete.
Pete: I knew you didn’t know the numbers… But neither do I.
Sam: In that case, I do know the numbers.
What are the numbers?
Want to know those numbers?
Sam: I don’t know what the numbers are Pete.
Pete: I knew you didn’t know the numbers… But neither do I.
Sam: In that case, I do know the numbers.
What are the numbers?
Want to know those numbers?
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