# Devaughn's age is three times Sydney's age. The sum of their ages is 92. What is Devaughn's age?

##### 1 Answer

Oct 4, 2015

Dev is 69 and Syd is 23.

#### Explanation:

Let Dev's age be

Since Dev is 3 times older than Syd, we may write

Since the sum of their ages is 92, we may write

Now replacing x with 3y, we get :

Hence

Back substituting we get Dev is 69 years old.