# What The Students Know Puzzle

### The Puzzle:

A teacher says:

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

First:

Second:

First:

Second:

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?