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.

Hi,

My solution or solutions to the problem are.

I thik the numbers could be

1+10+5+2 (most likely)

1+10+5+4

1+10+5+6

1+10+5+8

thanks & regards
mcx

Posted by Govind on 2006-01-04 14:38:54