Difference between revisions of "1996 IMO Problems/Problem 4"

(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...")
 
(Solution)
Line 5: Line 5:
 
==Solution==
 
==Solution==
 
{{solution}}
 
{{solution}}
 +
 +
==Video Solution==
 +
https://www.youtube.com/watch?v=d3Olg8LekzA&t=5s

Revision as of 18:14, 6 October 2023

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

This problem needs a solution. If you have a solution for it, please help us out by adding it.

Video Solution

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