Question

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 $z$

Answer 1

The possible values of z is an illustration of the sum operator

The sum of all possible values of z is 17

How to determine the possible sum of z?

The conditions in the question are:

x <= y <= z

xyz = 2(x + y + z)

Using the trial by error method, the possible values of x, y and z are:

1. x = 1 , y = 3 , z = 8
2. x = 1 , y = 4 , z = 5
3. x = 2 , y = 2 , z = 4

The sum of the z values are:

z = 8 + 5 + 4

Evaluate the sum

z = 17

Hence, the sum of all possible values of z is 17

Read more about the sum operator at:

brainly.com/question/2475734