mirandaariana2004
contestada

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.

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.

Step-by-step 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,

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

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

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

[tex]3Z=24[/tex]

Divide both sides by 3.

[tex]Z=\dfrac{24}{3}[/tex]

[tex]Z=8[/tex]

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