Sachin is younger than Rahul by 7 years. If their ages are in the respective…

Use the given ratio to express both ages in terms of a variable and then apply the age difference.

• Let Sachin's age be 7x and Rahul's age be 9x, because their ages are in the ratio 7:9.

• Sachin is younger than Rahul by 7 years, so the difference in their ages is 9x − 7x = 7.

• This simplifies to 2x = 7, so x = 3.5.

• Sachin's age is 7x = 7 × 3.5 = 24.5 years.

Therefore, Sachin is 24.5 years old.