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In the equation 1/j + 1/k = 1/3 + 1/5, both j and k are positive integers. What is the sum of all possible values for k?

 Nov 18, 2021
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1/3 + 1/5  =  1/5 + 1/3  =  1/2 + 1/30  =  1/30 + 1/2

 

So, K can be 5, 3, 30, and 2.

Their sum is 40.

 Nov 19, 2021

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