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

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

A. 45 years

B. 42 years

C. 90 years

D. 50 years

Answer: Option A

Solution (By JKSSB Mock Tests)

Let ages 5k and 4k. Then (5k + 4)/(4k + 4) = 6/7. Solving gives k ≈ 9, age of A = 5*9 = 45.

This question belongs to: Maths Ratio and Proportion

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Question #1

If a:b = 5:8 and b:c = 8:11, then a:b:c = ?

A. 5:9:11

B. 4:8:12

C. 10:16:22

D. 5:8:11

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 5:8, b:c = 8:11 ⇒ a:b:c = 5:8:11.

This question belongs to: Maths Ratio and Proportion

Question #2

Ratio of present ages of A and B is 7:5. After 12 years, the ratio becomes 8:8. Present age of A is?

A. 98 years

B. 196 years

C. 103 years

D. 94 years

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Correct Answer: Option A

Explanation:
Let ages 7k and 5k. Then (7k + 12)/(5k + 12) = 8/8. Solving gives k ≈ 14, age of A = 7*14 = 98.

This question belongs to: Maths Ratio and Proportion

Question #3

Two numbers are in the ratio 12:11 and their sum is 394. Find the numbers.

A. 192 and 204

B. 204 and 187

C. 222 and 159

D. 408 and 374

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Correct Answer: Option B

Explanation:
Numbers = 12k and 11k. 12k + 11k = 394 ⇒ k = 17. Thus, numbers are 204 and 187.

This question belongs to: Maths Ratio and Proportion

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