Ratio of present ages of A and B is 7:8. After 12 years, the ratio becomes 8:9. Present age of A is? MCQ with Answer and Explanation

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Ratio of present ages of A and B is 7:8. After 12 years, the ratio becomes 8:9. Present age of A is?

A. 70 years

B. 77 years

C. 154 years

D. 82 years

Answer: Option B

Solution (By JKSSB Mock Tests)

Let ages 7k and 8k. Then (7k + 12)/(8k + 12) = 8/9. Solving gives k ≈ 11, age of A = 7*11 = 77.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

Find the mean proportional between 15 and 13.

A. 13

B. 28

C. 16

D. 26

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Correct Answer: Option A

Explanation:
Mean proportional = √(15 × 13) = √(195) = 13.

This question belongs to: Maths Ratio and Proportion

Question #2

Two numbers are in the ratio 15:6 and their sum is 521. Find the numbers.

A. 375 and 127

B. 720 and 288

C. 360 and 144

D. 347 and 158

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Correct Answer: Option C

Explanation:
Numbers = 15k and 6k. 15k + 6k = 521 ⇒ k = 24. Thus, numbers are 360 and 144.

This question belongs to: Maths Ratio and Proportion

Question #3

Ratio of present ages of A and B is 5:7. After 4 years, the ratio becomes 8:8. Present age of A is?

A. 42 years

B. 50 years

C. 90 years

D. 45 years

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Correct Answer: Option D

Explanation:
Let ages 5k and 7k. Then (5k + 4)/(7k + 4) = 8/8. Solving gives k ≈ 9, age of A = 5*9 = 45.

This question belongs to: Maths Ratio and Proportion

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