Two numbers are in ratio 9:12. Their difference is 74. What is their sum? MCQ with Answer and Explanation

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Two numbers are in ratio 9:12. Their difference is 74. What is their sum?

A. 105

B. 270

C. 210

D. 355

Answer: Option C

Solution (By JKSSB Mock Tests)

Numbers 9k, 12k. Difference |9-12|k = 74 ⇒ k = 24. Sum = (9+12)k ≈ 210.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

If a:b = 2:9 and b:c = 9:7, then a:b:c = ?

A. 2:10:7

B. 2:9:7

C. 1:9:8

D. 4:18:14

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 2:9, b:c = 9:7 ⇒ a:b:c = 2:9:7.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 3:10 and b:c = 10:5, then a:b:c = ?

A. 3:10:5

B. 2:10:6

C. 6:20:10

D. 3:11:5

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 3:10, b:c = 10:5 ⇒ a:b:c = 3:10:5.

This question belongs to: Maths Ratio and Proportion

Question #3

Ratio of present ages of A and B is 4:7. After 12 years, the ratio becomes 6:9. Present age of A is?

A. 49 years

B. 88 years

C. 40 years

D. 44 years

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Correct Answer: Option D

Explanation:
Let ages 4k and 7k. Then (4k + 12)/(7k + 12) = 6/9. Solving gives k ≈ 11, age of A = 4*11 = 44.

This question belongs to: Maths Ratio and Proportion

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