Question

Devaugn’s age is three times Sydney’s age. The sum of their ages is 52. What is Sydney’s age?Solve by using linear equation.

Answer 1

13 years old

Explanation:

Let x be Devaugn's age and y be Sydney's age.

We establish the following linear equation system:

`\begin{gathered} x=3y \\ x+y=52 \end{gathered}`

We solve the first equation in the second equation:

`\begin{gathered} 3y+y=52 \\ 4y=52 \\ y=(52)/(4) \\ y=13 \end{gathered}`

Which means Sydney's age is 13 years old.