# Juwan is 36 years younger than Christy. Eight years ago, Christy's age was three times older than Juwan's age. How old is Juwan currently?

Feb 17, 2017

Juwan is $26$ years old.

#### Explanation:

Let $C$ be Christy's age (currently) and $J$ be Juwan's age (currently).

Then

$\left\{\begin{matrix}J = C - 36 \\ 3 \left(J - 8\right) = C - 8\end{matrix}\right.$

Simplify the second equation.

$3 J - 24 = C - 8$

$C = 3 J - 16$

Substitute the second equation into the first.

$J = 3 J - 16 - 36$

$J - 3 J = - 52$

$- 2 J = - 52$

$J = 26$

$\therefore$ Juwan's age now is $26$ years old.

Hopefully this helps!