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What would be the sum of all positive integers n such that 20n and 5n+275 both are perfect squares?

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What would be the sum of all positive integers n such that 20n and 5n+275 both are perfect squares?
posted May 21, 2018 by Samardeep Acharya

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1 Answer

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It happens only at n=125
20x125 = 2500 (50x50)
5x125 + 275 = 900 (30x30)
So sum of all such positive numbers = 125 ( its the only one).

answer May 21, 2018 by Tejas Naik



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