John is 6 years older than keisha. together their ages equal four times keisha's age. how old is each?

J = K+6 
K + J = 4K

Replace J in the second equation 
K + (K + 6) = 4K
K + K + 6 = 4K
2K + 6 = 4K
Subtract 2K from each side
6 = 2K
Divide both sides by 2
K=3

So, Keisha is 3 and therefore John is 9 because 3 + 6=9

John is 9
Keisha is 3
use variable for the problem