a man comes up with two numbers between 1 and 99 (meaning not 1 or 99 but from 2 to 98 ). The sum of these two numbers is under 99. He tells one person the sum of these numbers and another person the product of these numbers. The person with the product comes up to the person with the sum and says "i don't know the two numbers". The person with the sum replies with "i know that you don't know the two numbers". Immediately, the man with the product says "now i know the two numbers" and the man with the sum says "now i know the two numbers too". What are the two numbers? There is no word play involved.. it is a real problem with a real answer. Feel free to find the answer any way possible.

Gieb answer;p