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What The Students Know Puzzle
The Puzzle:
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?
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