 All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars  perplexus dot info  Square Result Rumination (Posted on 2014-09-28) Each of X and Y is a positive integer such that each of X+Y and X/Y is a perfect square.

Does there exist an infinite number of pairs (X,Y) satisfying all the given conditions?

 No Solution Yet Submitted by K Sengupta No Rating Comments: ( Back to comment list | You must be logged in to post comments.) re: Technical solution--but a larger question remains. | Comment 2 of 6 | (In reply to Technical solution--but a larger question remains. by Charlie)

Of course there are.
Take any perfect square that is a multiple of 5.
Make x be 4/5 and y be 1/5  of that square.
x/y will be 4.

Take any perfect square that is a multiple of (p+1) where p is a square
x = p/(p+1) and y=1/(p+1) of that square
x/y=p

There are other ratios that will also work for certain square.

 Posted by Jer on 2014-09-28 10:04:46 Please log in:

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