Question

The ages of Leena and Suresh are in a ratio 9 : 10. Fifteen years hence, the ratio will be 23 : 25. What are their present ages?
1. 36 years, 40 years
2. 45 years, 50 years
3. 54 years, 60 years
4. 56 years, 70 years
5. 27 years, 30 years

Answer 1

Correct Answer - Option 3 : 54 years, 60 years

Calculations:

Let the present age of Leena and Suresh be 9x and 10x respectively.

After 15 years, ratio of age = 23 : 25

⇒ (9x + 15)/(10x + 15) = 23/25

⇒ 225x + 375 = 230x + 345

⇒ 5x = 30

⇒ x = 6

Leena’s age = 9 × 6 = 54

Suresh’s age = 10 × 6 = 60

∴ Leena’s present age is 54 years and Suresh’s present age is 60 years.