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The number 75 can be written as the sum of the squares of 3 different

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Re: The number 75 can be written as the sum of the squares of 3 different  [#permalink]

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New post 14 Oct 2019, 16:34
Hi MTLGMAT514,

Since you can't actually get to MOST integers by adding up three squares of integers, this result is just a coincidence.

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Re: The number 75 can be written as the sum of the squares of 3 different  [#permalink]

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New post 20 Oct 2019, 20:28
3*(a^2 + b^2 + c^2) >= (a+b+c)^2
=> 3*75 >= (a+b+c)^2
=> 15 >= a+b+c
But a#b#c => a+b+c # 15
(a^2 + b^2 + c^2) is odd
=> (a+b+c) is odd
=> (a+b+c) = 13

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Re: The number 75 can be written as the sum of the squares of 3 different   [#permalink] 20 Oct 2019, 20:28

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