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): Lost their marbles (full solution) by DJ)
um... I think you're trying to be difficult... or at best, you are stretching the intent of the problem. 'Even' means evenly divisible by '2'.
Examples of 'even squares' are 0, 4, 16, 36, etc...
Examples of 'odd squares' are 1, 9, 25, 49, etc...