Correct Answer - Option 2 : 24.5
Given:
Sachin is younger than Rahul by 7 years.
The ratio of their ages is 7 ∶ 9.
Calculation:
Let the age of Rahul be x.
Let the age of Sachin be x - 7.
According to the question;
⇒ x/(x - 7) = 9/7
⇒ 7x = 9(x - 7)
⇒ 7x = 9x - 63
⇒ 2x = 63
⇒ x = 31.5
The age of Sachin = 31.5 - 7 = 24.5 years
∴ The age of Sachin is 24.5.
Short trick:
The ratio of their ages is 7 ∶ 9.
Sachin is younger than Rahul by 7 years.
Then, 9 - 7 = 7
⇒ 2 = 7
⇒ 1 = 3.5
The age of Sachin = 7 × 3.5 = 24.5 years
∴ The age of Sachin is 24.5.
