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 zachs 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 .

To find:

The equation that can be used to solve for zach's age.

Solution:

Let the age of zach be Z.

Zach added 8 to his age = Z+8

And multiplied this sum by 3 = 3(Z+8)

James is 6 times older than his friend Zach = 6Z

Now,

`6Z=3(Z+8)`

`6Z-3Z=24`

`3Z=24`

Divide both sides by 3.

`Z=8`

Therefore, the required equation is
`6Z=3(Z+8)` is age of zach is 8 years.