Question

Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7:9 respectively, find the age of Sachin:

• A. 23.5
• B. 24.5
• C. 12.5
• D. 14.5

Hint:

When solving age-related problems, represent the ages in terms of a variable and use the given relationships to form equations.

Answer 1

The Correct Option is B

Let Sachin's age be \( 7x \) and Rahul's age be \( 9x \). 
Step 1: According to the problem, Sachin is 7 years younger than Rahul: \[ 9x - 7x = 7 \] 
Step 2: Simplify the equation: \[ 2x = 7 \implies x = 3.5 \] 
Step 3: Find Sachin's age: \[ 7x = 7(3.5) = 24.5 \] Thus, Sachin's age is 24.5 years.