A problem by Sumukh Bansal

Level pending

A teacher says:

"I am thinking of two natural numbers bigger than 1. Try to guess what they are."

The first student knows their product and the other one knows their sum.

First: "I do not know the sum." Second: "I knew that. The sum is less than 14." First: "I knew that. However, now I already know the numbers." Second: "And so do I."

What were the numbers? Put [.] between the first and second number


The answer is 2.9.

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