Question

the ages of Rahul and lakshmi are in the ratio 5.7 Four years later, the sum of their ages will be 56 years. what are their present ages?​

Answer 1

Answer:

The ratio of the ages of Rahul and Laxmi = 5:7

Let the common multiple be x.

∴ Rahul’s present age = 5x years.

Laxmi’s present age = 7x years.

The sum of their ages four years later = 56 years.

According to the given condition,

5x + 4 + 7x + 4 = 56

⇒ 12x + 8 = 56

⇒ 12x = 56 – 8 (Transposing 8 to RHS)

12x = 48

⇒ x =

(Transposing 12 to RHS)

x = 4

Rahul’s present age = 5x = 5 × 4 = 20 years.

Laxmi’s present age = 7x = 7 × 4 = 28 years.

∴ The present ages of Rahul and Laxmi are 20 years and 28