Two numbers are in the ratio 12:9 and their sum is 602. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 12:9 and their sum is 602. Find the numbers.

A. 672 and 504

B. 365 and 225

C. 328 and 270

D. 336 and 252

Answer: Option D

Solution (By JKExamLibrary)

Numbers = 12k and 9k. 12k + 9k = 602 ⇒ k = 28. Thus, numbers are 336 and 252.

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 4:8. After 8 years, the ratio becomes 6:10. Present age of A is?

A. 44 years

B. 88 years

C. 49 years

D. 37 years

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Correct Answer: Option A

Explanation:
Let ages 4k and 8k. Then (4k + 8)/(8k + 8) = 6/10. Solving gives k ≈ 11, age of A = 4*11 = 44.

This question belongs to: Maths Ratio and Proportion

Question #2

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Two numbers are in ratio 10:4. Their difference is 127. What is their sum?

A. 449

B. 350

C. 175

D. 388

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Correct Answer: Option B

Explanation:
Numbers 10k, 4k. Difference |10-4|k = 127 ⇒ k = 21. Sum = (10+4)k ≈ 350.

This question belongs to: Maths Ratio and Proportion

Question #3

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

A. 84 years

B. 89 years

C. 168 years

D. 81 years

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Correct Answer: Option A

Explanation:
Let ages 4k and 4k. Then (4k + 6)/(4k + 6) = 5/5. Solving gives k ≈ 21, age of A = 4*21 = 84.

This question belongs to: Maths Ratio and Proportion

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