Question

James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3.

Write an equation that can be used to solve for Zach's age in the box below, use Z as the variable.

Answer 1

Given that:

James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3.

Explanation:

Let the Zach's age be Z years.

6 times older than Zach = 6Z

Zach added 8 to his age and multiplied this sum by 3 = 3(Z+8)

Now,

`6Z=3(Z+8)`

`6Z=3Z+24`

`6Z-3Z=24`

`3Z=24`

Divide both sides by 3.

`Z=(24)/(3)`

`Z=8`

Therefore, the required equation is
`6Z=3(Z+8)` and Zach's age is 8 years.