Question

Devaughn's age is three times Sydney's age. The sum of their ages is 80 . What is Sydney's age?

Answer 1

Sydney= 20, Devaughn= 60

Explanation:

Let Sydney's age be 'x'

Devaughn's age = 3 times x = 3x

We Know That

The sum of their ages is 80.

So,

3x + x = 80

4x = 80

If we shift the 4 to the 80 side

x = 80/4

x = 20

So, Sydney's age is 20

Therefore, Devaughn's age =

3x = 3 times x

= 3 times 20

= 60

Answer 2

Here we go ~

`\qquad\displaystyle \rm \dashrightarrow \: let \: \: Sydney's \: \: age \: \: be \: \: 'y'`

`\qquad\displaystyle \tt \dashrightarrow \: Devaughn's \: \: age \: \: will \: \: be \: \: 3y`

Sum up ;

`\qquad\displaystyle \tt \dashrightarrow \: 3y + y = 80`

`\qquad\displaystyle \tt \dashrightarrow \: 4y = 80`

`\qquad\displaystyle \tt \dashrightarrow \: y = 80 / 4`

`\qquad\displaystyle \tt \dashrightarrow \: y = 20`

So, Sydney's age is 20 years, n that of Devaughn is 20 × 3 = 60 years