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Two mathematicians

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There are two natural numbers greater than one, whose sum is less than 100.
And there are two friends: Peter, who knows the product of the numbers, and Paul, who knows their sum.
A following dialogue takes place:
Peter: "I don't know those numbers."
Paul: "I knew you wouldn't. I don't know them either."
Peter: "Now I know them!"
Paul: "Now I know them, too!"
What are those two numbers?
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5 answers to this question

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Posted · Report post

I think I have it...

product is 52

sum is 17

numbers are 4, 13

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Posted · Report post

yop, u are right

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Posted · Report post

Yeah, this is a duplicate...I posted this quite a while ago:

One of my favorites

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Posted · Report post

ohh, sorry , didnt find it there before :)

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Posted · Report post

ohh, sorry , didnt find it there before :)

Well in any event I enjoyed solving it. So duplicate or not thank you :).

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