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Sholpan [36]
2 years ago
5

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 t

heir sum. What is the sum of all possible values of $z$
Mathematics
1 answer:
valina [46]2 years ago
8 0

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

The sum of all possible values of z is 17

<h3>How to determine the possible sum of z?</h3>

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

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