I had three mathematician friends at school, and we were hanging out.
Out of the blue a question came to my mind, and I decided to ask it to them:
"Guys, I have a question for you. Which is actually pretty easy, I am sure you will find it very fast! I will think of 2 numbers which are distinct and they are between 1 and 10 (including 1 and 10).
I will tell the product of them to you Matt,
and I will tell the absolute difference of them to David,
and the sum of them to you Simon.
They started to talk each other:
Matt: I cannot find it guys.
David: I cannot find it either.
Simon: This is very hard question actually, I do not believe anyone will ever find it.
Matt: I cannot believe that I cannot find it still, these are pretty good chosen numbers.
Simon: You made a very hard question indeed. Still could not figure it out.
David: I found it! I thought I would never find it, thanks Simon!
Matt: We all found it then.
Simon: Yes. Good one thanks.
What were those numbers?
Note: This is not a duplicate question; it is a unique one. Just inspired from this one. The logic and solution are totally different. If you still believe that it is the same one, I am okay anyway.