# The sum of Richard's age and Ruel's age is 60. Nine years ag, Richard was twice as old as Ruel then. How old is Ruel?

Ruel is 23 years old.

#### Explanation:

Let
$x =$Ruel's age and $y =$ Richard's age hence we have that

$x + y = 60$ and $y - 9 = 2 \cdot \left(x - 9\right)$

Solving this system of equation yields $x = 23$