Question

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?

Answer 1

All solutions

1. x = 1 , y = 3 , Z = 8

2. x = 1 , y = 4 , Z = 5

3. x = 2 , y = 2 , Z = 4

Answer 2

sum of z is 4+5+8 = 17