Ratio of present ages of A and B is 5:7. After 9 years, the ratio becomes 6:10. Present age of A is? MCQ with Answer and Explanation

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Ratio of present ages of A and B is 5:7. After 9 years, the ratio becomes 6:10. Present age of A is?

A. 45 years

B. 90 years

C. 50 years

D. 40 years

Answer: Option A

Solution (By JKSSB Mock Tests)

Let ages 5k and 7k. Then (5k + 9)/(7k + 9) = 6/10. Solving gives k ≈ 9, age of A = 5*9 = 45.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

If a:b = 3:6 and b:c = 6:4, then a:b:c = ?

A. 6:12:8

B. 3:7:4

C. 2:6:5

D. 3:6:4

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 3:6, b:c = 6:4 ⇒ a:b:c = 3:6:4.

This question belongs to: Maths Ratio and Proportion

Question #2

Ratio of present ages of A and B is 4:5. After 4 years, the ratio becomes 6:7. Present age of A is?

A. 120 years

B. 60 years

C. 55 years

D. 65 years

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Correct Answer: Option B

Explanation:
Let ages 4k and 5k. Then (4k + 4)/(5k + 4) = 6/7. Solving gives k ≈ 15, age of A = 4*15 = 60.

This question belongs to: Maths Ratio and Proportion

Question #3

Two numbers are in the ratio 6:5 and their sum is 517. Find the numbers.

A. 282 and 235

B. 564 and 470

C. 304 and 215

D. 267 and 244

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Correct Answer: Option A

Explanation:
Numbers = 6k and 5k. 6k + 5k = 517 ⇒ k = 47. Thus, numbers are 282 and 235.

This question belongs to: Maths Ratio and Proportion

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