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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 plus 2. What is the sum of all possible values of z?

 Jun 16, 2022
 #1
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For 3-digit integers, there are 5 of them as follows:

 

225 , 323 , 416 , 522 , 614 , Total =  5 such positive integers.

 Jun 16, 2022
 #2
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nice

hipie  Jun 16, 2022

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