Four different integers from 1 to 10 are chosen. Sam is given the sum and Pat is given the product. Sam and Pat take turns stating how many of the four numbers they can deduce:

Sam: I don't know any
Pat: I know one
Sam: I now know two
Pat: I now know all four

What could the four numbers be?

Tip: A spreadsheet is very useful in solving this problem.

I agree with the previous two posts. 
A good question but easy to solve with patience and a spreadsheet .. a little tedious one might say but a good distraction at work ... :)

Posted by Morgan on 2006-01-03 18:04:11