Question

Devaughn is 7 years younger than Sydney. The sum of their ages is 49. What is Sydney's age?

Answer 1

28

Let both Devaughn and Sydney's age be x

so to start with, make an equation using the unknown value x.

2x-7 = 49

now, simplify this equation.

2x = 49+7

2x = 56

x = 28

so Sydney's age is 28

Answer 2

Sydney is 28

Explanation:

let Sydney's age be x then Devaugn is x - 7 and summing their ages gives

x + x - 7 = 49

2x - 7 = 49 ( add 7 to both sides )

2x = 56 ( divide both sides by 2 )

x = 28

then Sydney is 28