Jack and Jill each have marble collections. The number in Jack's collection in a square number.

Jack says to Jill, "If you give me all your marbles I'll still have a square number." Jill replies, "Or, if you gave me the number in my collection you would still be left left with an even square."

What is the fewest number of marbles Jack could have?

I'm not trying to beat a dead horse, nor am I trying to spur on a debate, but I just wanted to say that when I first read this problem I took "even square" to mean "perfect square" just like DJ did.

Later!

Posted by nikki on 2003-11-03 15:09:02