Sachin is younger than Rahul by 7 years. If their ages are in the respective…
2025
Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?
- A.
16 years
- B.
18 years
- C.
28 years
- D.
24.5 years
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Correct answer: D
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.