Question

A’s mother was four times as old as A ten years ago. After 10 yrears she will be twice as old as A. then A’s present age is 30 years 20 years 24 years 25 years

Answer 1

Let A’s present age be x.

Thus A’s mother's age 10 years ago was 4 (x - 10)

A’s mother's age after 10 years will be 2 (x + 10)

As per statement, A's mother was 4 times as old as A ten years ago. After ten years, she will be twice as old as A. Accordingly

2 (x + 10) - 4 (x - 10) = 20

2x + 20 - 4x + 40 = 20

2x - 4x + 60 = 20

—2x = 20 — 60

—2x = —40

x = 40/2

x = 20

Thus A’s present age is 20 years.

Answer A’s present age is 20 years.