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
not sure if this counts by FatBoy)
If Jill has to have more than zero marbles, then the above solution should be multiplied by 4 to give an even square after taking away Jill's marbles.
100 marbles / 96 marbles
100 = 10
100 + 96 = 14²
100 - 96 = 2² which is even
re: not sure if this counts
