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?
"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?