Question

Sophia's age is four less than five times the age of Avery. In four years, Sophia will be three times the age of Avery. Determine their present ages.

Answer 1

Sophia is 26 years old

Avery is 6

Explanation:

Let the age of Sophia be s

Let the age of Avery be a

Setting up our system of equations

s=5a-4

s+4=3(a+4)

Simplifying gets us

s+4=3a+12

s=3a+8

Subsisting gets us

5a-4=3a+8

2a=12

a=6

Solving for s gets us s=30-4=26