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

 Jul 15, 2018
 #1
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Suppose that x,y,z are positive integers satisfying x≤y≤z, and such that the product of all three numbers is twice their sum. What is the sum of all possible values of z?

 

 

sum of z is 4+5+8 = 17

 

laugh

 Jul 18, 2018
 #2
avatar+102459 
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Thanks Heureka, I was wondering how to solve this one.

 

I know you have just used Wolfram Alpha but it is good to see how the data is inputed :)

Melody  Jul 18, 2018
 #3
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Do you mind explaining how to solve the question?

Guest Jul 22, 2018

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