Ratio of present ages of A and B is 6:4. After 5 years, the ratio becomes 9:7. Present age of A is? MCQ with Answer and Explanation

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Ratio of present ages of A and B is 6:4. After 5 years, the ratio becomes 9:7. Present age of A is?

A. 108 years

B. 119 years

C. 228 years

D. 114 years

Answer: Option D

Solution (By JKSSB Mock Tests)

Let ages 6k and 4k. Then (6k + 5)/(4k + 5) = 9/7. Solving gives k ≈ 19, age of A = 6*19 = 114.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Ratio of present ages of A and B is 7:4. After 7 years, the ratio becomes 10:5. Present age of A is?

A. 84 years

B. 78 years

C. 168 years

D. 89 years

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Correct Answer: Option A

Explanation:
Let ages 7k and 4k. Then (7k + 7)/(4k + 7) = 10/5. Solving gives k ≈ 12, age of A = 7*12 = 84.

This question belongs to: Maths Ratio and Proportion

Question #2

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If a:b = 5:10 and b:c = 10:4, then a:b:c = ?

A. 5:11:4

B. 4:10:5

C. 5:10:4

D. 10:20:8

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 5:10, b:c = 10:4 ⇒ a:b:c = 5:10:4.

This question belongs to: Maths Ratio and Proportion

Question #3

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Ratio of present ages of A and B is 7:8. After 10 years, the ratio becomes 9:10. Present age of A is?

A. 294 years

B. 152 years

C. 147 years

D. 143 years

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Correct Answer: Option C

Explanation:
Let ages 7k and 8k. Then (7k + 10)/(8k + 10) = 9/10. Solving gives k ≈ 21, age of A = 7*21 = 147.

This question belongs to: Maths Ratio and Proportion

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