1996 IMO Problems/Problem 4

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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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Video Solution

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

See Also

1996 IMO (Problems) • Resources
Preceded by
Problem 4
1 2 3 4 5 6 Followed by
Problem 5
All IMO Problems and Solutions