# Melissa is 24 years younger than Joyce. In 2 years, Joyce will be 3 times as old as Melissa will be then. How old are they now?

Jun 24, 2018

#### Answer:

Joyce is currently 34 and Melissa is 10

#### Explanation:

Let $x$ be Joyce's age
Then $x - 24$ is Melissa's age

Therefore in 2 years time, Joyce's age is $x + 2$ and Melissa's age is $x - 22$

Now, it tells you that Joyce will be 3 times as old as Melissa
$x + 2 = 3 \left(x - 22\right)$
$x + 2 = 3 x - 66$
$68 = 2 x$
$x = 34$

Therefore, Joyce is currently 34 and Melissa is 10