Two numbers are in ratio 9:5. Their difference is 112. What is their sum? MCQ with Answer and Explanation

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Two numbers are in ratio 9:5. Their difference is 112. What is their sum?

A. 569

B. 448

C. 420

D. 210

Answer: Option C

Solution (By JKSSB Mock Tests)

Numbers 9k, 5k. Difference |9-5|k = 112 ⇒ k = 28. Sum = (9+5)k ≈ 420.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

If a:b = 2:6 and b:c = 6:9, then a:b:c = ?

A. 4:12:18

B. 2:7:9

C. 1:6:10

D. 2:6:9

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 2:6, b:c = 6:9 ⇒ a:b:c = 2:6:9.

This question belongs to: Maths Ratio and Proportion

Question #2

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. 37 years

B. 49 years

C. 88 years

D. 44 years

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Correct Answer: Option D

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 #3

Two numbers are in the ratio 3:4 and their sum is 120. Find the numbers.

A. 38 and 78

B. 51 and 68

C. 63 and 43

D. 102 and 136

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Correct Answer: Option B

Explanation:
Numbers = 3k and 4k. 3k + 4k = 120 ⇒ k = 17. Thus, numbers are 51 and 68.

This question belongs to: Maths Ratio and Proportion

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