perplexus.info :: Just Math : Square Sum in Pairs

Square Sum in Pairs (Posted on 2016-06-27)

(i) X and Y are two positive integers such that:
Each of 2016+X, 2016+Y and X+Y is a perfect square.

Find the two smallest values of X+Y

(ii) If in addition to given conditions in (i), it is known that X is itself a perfect square and Y is two times a perfect square- then, what is the smallest value of X+Y?

No Solution Yet Submitted by K Sengupta

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Subject	Author	Date
not too much	armando	2016-06-30 09:26:33
computer solution	Charlie	2016-06-27 13:57:18

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