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1996 IMO Problems/Problem 4

Revision as of 14:58, 6 October 2023 by Tomasdiaz (talk | contribs) (Created page with "==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 integ...")
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Problem

The positive integers $a$ and $b$ are such that the numbers $15a+16b$ and $16a-15b$ 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

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