[math-fun] What are the values of A and B?

There are two integers, A and B, which are greater than 1 and less than 101. Neither Sam nor Pete knows what they are, but Sam knows their sum, and Pete knows their product. The following conversation takes place.

Pete: ``I don't know what the numbers are.'' Sam: ``I knew that you did not know what the numbers are.'' Pete: ``Now I know what the numbers are.'' Sam: ``Then, so do I.''

What are the values of A and B?

I'm confused. Pete's first remark tells Sam nothing. Why can't this be shortened: Sumit: You don't know them. Pradeep: I do now! Sumit: Likewise! ? --rwg --------------------------------- Be a better friend, newshound, and know-it-all with Yahoo! Mobile. Try it now.