Question

Rekha is three years older than Anita. five years ago Rekha's age was four times Anita's age. Find the ages of Rekha And Anita.

Answer 1

Rekha is 9 years old and Anita is 6 years old

Explanation:

let Anita's age be a then Rekha is a + 3 ( three years older )

five years ago

Anita is a - 5 and Rekha is a + 3 - 5 = a - 2

At this time Rekha is four times Anita's age , then the equation is

a - 2 = 4(a - 5) ← distribute parenthesis

a - 2 = 4a - 20 ( subtract a from both sides )

- 2 = 3a - 20 ( add 20 to both sides )

18 = 3a ( divide both sides by 3 )

6 = a

and a + 3 = 6 + 3 = 9

Then Rekha is 9 years old and Anita is 6 years old