Two Secret Integers

posted Aug 01 '12

Shiva Kintali
691 ● 1 ● 6 ● 22
http://www.cs.princeton.e...

I am thinking of two integers, each of them is more than 1 and their sum is less than 100. I tell my friend A the sum of these two numbers, and another friend B, product of these two numbers. Then the following dialog took place :

• B: I can't determine what are these numbers.
• A: Ah, I knew you wouldn't be able to do this.
• B: Oh, then i know what they are !
• A: Oh, then i know them too !

What are the numbers?