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

A. 45 years

B. 90 years

C. 50 years

D. 39 years

Answer: Option A

Solution (By JKSSB Mock Tests)

Let ages 5k and 5k. Then (5k + 5)/(5k + 5) = 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

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Two numbers are in ratio 9:4. Their difference is 40. What is their sum?

A. 286

B. 714

C. 601

D. 572

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Correct Answer: Option D

Explanation:
Numbers 9k, 4k. Difference |9-4|k = 40 ⇒ k = 8. Sum = (9+4)k ≈ 572.

This question belongs to: Maths Ratio and Proportion

Question #2

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Ratio of present ages of A and B is 5:8. After 12 years, the ratio becomes 6:11. Present age of A is?

A. 55 years

B. 110 years

C. 50 years

D. 60 years

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Correct Answer: Option A

Explanation:
Let ages 5k and 8k. Then (5k + 12)/(8k + 12) = 6/11. Solving gives k ≈ 11, age of A = 5*11 = 55.

This question belongs to: Maths Ratio and Proportion

Question #3

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Two numbers are in the ratio 13:6 and their sum is 485. Find the numbers.

A. 650 and 300

B. 306 and 158

C. 325 and 150

D. 342 and 131

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Correct Answer: Option C

Explanation:
Numbers = 13k and 6k. 13k + 6k = 485 ⇒ k = 25. Thus, numbers are 325 and 150.

This question belongs to: Maths Ratio and Proportion

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