Ratio of present ages of A and B is 6:7. After 7 years, the ratio becomes 8:8. Present age of A is? MCQ with Answer and Explanation

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Ratio of present ages of A and B is 6:7. After 7 years, the ratio becomes 8:8. Present age of A is?

A. 138 years

B. 276 years

C. 143 years

D. 134 years

Answer: Option A

Solution (By JKSSB Mock Tests)

Let ages 6k and 7k. Then (6k + 7)/(7k + 7) = 8/8. Solving gives k ≈ 23, age of A = 6*23 = 138.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

If a:b = 6:8 and b:c = 8:6, then a:b:c = ?

A. 5:8:7

B. 6:8:6

C. 12:16:12

D. 6:9:6

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 6:8, b:c = 8:6 ⇒ a:b:c = 6:8:6.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 8:8 and b:c = 8:10, then a:b:c = ?

A. 7:8:11

B. 16:16:20

C. 8:9:10

D. 8:8:10

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 8:8, b:c = 8:10 ⇒ a:b:c = 8:8:10.

This question belongs to: Maths Ratio and Proportion

Question #3

Ratio of present ages of A and B is 3:4. After 4 years, the ratio becomes 5:6. Present age of A is?

A. 71 years

B. 66 years

C. 132 years

D. 60 years

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Correct Answer: Option B

Explanation:
Let ages 3k and 4k. Then (3k + 4)/(4k + 4) = 5/6. Solving gives k ≈ 22, age of A = 3*22 = 66.

This question belongs to: Maths Ratio and Proportion

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