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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?

Aug 21, 2020

#1
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I don't understand your LaTex, but here are a couple of numbers that satisfy your question;

x = 1,  y= 3,  z = 8  and

x = 1,  y = 4,  z =5

Aug 21, 2020
#2
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Thanks. The latex is x is less than or equal to y which is less than or equal to z

Aug 24, 2020