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 .

Respuesta :

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,

[tex]6Z=3(Z+8)[/tex]

[tex]6Z-3Z=24[/tex]

[tex]3Z=24[/tex]

Divide both sides by 3.

[tex]Z=8[/tex]

Therefore, the required equation is [tex]6Z=3(Z+8)[/tex] is age of zach is 8 years.