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

Oct 4, 2015

Dev is 69 and Syd is 23.

#### Explanation:

Let Dev's age be $x$ and Syd's age be $y$.

Since Dev is 3 times older than Syd, we may write $x = 3 y$

Since the sum of their ages is 92, we may write $x + y = 92$

Now replacing x with 3y, we get : $3 y + y = 92$

Hence $y = \frac{92}{4} = 23$ and so Syd is 23 year old.

Back substituting we get Dev is 69 years old.