Question

Narendra's mother is four times as old as Narendra. Four years ago, his mother was six times as old as Narendra was. What are their Present ages?

Options

• 7 years, 28 years

• 10 years, 40 years

• 5 years, 20 years

• 20 years, 80 years

Answer 1

10 years, 40 years

Explanation:

Let the present ages of Narendra is x

∴ Present age of Narendra's Mother = 4x

4 years ago,

Narendra's mother's age = (4x – 4)

Narendra's age = (x – 4)

We know, (4x – 4) = 6(x – 4)

⇒ 4x – 4 = 6x – 24

⇒ 2x = 20

⇒ x = 10

∴ Narendra's present age = 10 years

Narendra's mother' s present age = (4 × 10) = 40 years