Ratio of present ages of A and B is 4:6. After 8 years, the ratio becomes 6:9. Present age of A is? MCQ with Answer and Explanation

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Ratio of present ages of A and B is 4:6. After 8 years, the ratio becomes 6:9. Present age of A is?

A. 44 years

B. 36 years

C. 49 years

D. 88 years

Answer: Option A

Solution (By JKSSB Mock Tests)

Let ages 4k and 6k. Then (4k + 8)/(6k + 8) = 6/9. Solving gives k ≈ 11, age of A = 4*11 = 44.

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 4:6. After 9 years, the ratio becomes 7:8. Present age of A is?

A. 176 years

B. 93 years

C. 83 years

D. 88 years

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Correct Answer: Option D

Explanation:
Let ages 4k and 6k. Then (4k + 9)/(6k + 9) = 7/8. Solving gives k ≈ 22, age of A = 4*22 = 88.

This question belongs to: Maths Ratio and Proportion

Question #2

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If a:b = 7:9 and b:c = 9:5, then a:b:c = ?

A. 7:9:5

B. 7:10:5

C. 14:18:10

D. 6:9:6

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 7:9, b:c = 9:5 ⇒ a:b:c = 7:9:5.

This question belongs to: Maths Ratio and Proportion

Question #3

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Ratio of present ages of A and B is 3:6. After 8 years, the ratio becomes 5:8. Present age of A is?

A. 138 years

B. 74 years

C. 69 years

D. 66 years

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Correct Answer: Option C

Explanation:
Let ages 3k and 6k. Then (3k + 8)/(6k + 8) = 5/8. Solving gives k ≈ 23, age of A = 3*23 = 69.

This question belongs to: Maths Ratio and Proportion

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