View source for 1996 IMO Problems/Problem 4

==Problem==

The positive integers <math>a</math> and <math>b</math> are such that the numbers <math>15a+16b</math> and <math>16a-15b</math> are both squares of positive integers.  What is the least possible value that can be taken on by the smaller of these two squares?

==Solution==
{{solution}}

==Video Solution==
https://www.youtube.com/watch?v=d3Olg8LekzA&t=5s

==See Also==

{{IMO box|year=1996|num-b=4|num-a=5}}
[[Category:Olympiad Geometry Problems]]