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.
22.5 years.
- B.
24.5 years.
- C.
23.5 years.
- D.
21.5 years.
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Show answer & explanation
Correct answer: B
Explanation: Solve step by step.
Let Rahul's age be x years. Then Sachin's age is x − 7 years.
Use the given ratio: (Sachin)/(Rahul) = 7/9, so (x − 7)/x = 7/9.
Cross-multiply: 9(x − 7) = 7x, which expands to 9x − 63 = 7x.
Solve for x: 9x − 7x = 63 → 2x = 63 → x = 31.5.
Sachin's age = x − 7 = 31.5 − 7 = 24.5 years.
Therefore the correct age of Sachin is 24.5 years.