Managed to solve this by hand but I think it was designed to be done by computer
Two integers, m and n, each between 2 and 100 inclusive, have been chosen. The product, mn, is given to mathematician X. The sum, m + n, is given to mathematician Y. Their conversation is as follows:
X: I don't have the foggiest idea what your sum is, Y.
Y: That's no news to me, X. I already knew that you didn't
X: Ahah, NOW I know what your sum must be, Y!
Y: And likewise X, I have surmised your product !!
Find the integers m and n.
Dec 20th 2006, 07:05 AM
Four and thirteen
Dec 22nd 2006, 03:22 PM
Ok, I'm going to need to see this worked out. :P
Dec 22nd 2006, 03:38 PM
I've seen this before. Of course, it's more logic than actual math.