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?

(In reply to re(2): solution by SilverKnight)

I have to agree with Kitty's solution.

Four for Jack and Zero for Jill... but if Jill should be non-zero... then
100 for Jack and 96 for Jill.

Posted by SilverKnight on 2003-11-03 11:12:07