Sachin is younger than Rahul by 6 years. If the ratio of their ages is 7 : 9, find the age of Sachin.

Correct option is A

Given:

Sachin is younger than Rahul by 6 years. If the ratio of their ages is 7:9, find the age of Sachin.

Solution:

1. The age difference between Sachin and Rahul is 6 years.

2. The ratio of their ages is 7:9.

Step 1: Let the ages of Sachin and Rahul be:

Sachin's age = 7x

Rahul's age = 9x

Step 2: Use the age difference equation:

Rahul's age - Sachin's age = 6

9x - 7x = 6

2x = 6=>x = 3

Step 3: Calculate Sachin's age:

Sachin's age = 7x = 7 × 3 = 21 years.

Final Answer:

Sachin's age is 21 years.