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Suppose that \(x,y,z\) are positive integers satisfying \(x \le y \le z\), and such that the product of all three numbers is twice their sum. What is the sum of all possible values of \(z\)?

 Nov 25, 2021
 #1
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The only triple that works is (x,y,z) = (2,2,4), so the sum of all possibe values of z is 4.

 Nov 25, 2021
 #2
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I'm sorry, but this is wrong

abcdefghijklmnopqrst  Nov 25, 2021
edited by abcdefghijklmnopqrst  Nov 25, 2021

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