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.