Two numbers are in ratio 4:9. Their difference is 73. What is their sum? MCQ with Answer and Explanation

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Two numbers are in ratio 4:9. Their difference is 73. What is their sum?

A. 520

B. 260

C. 656

D. 557

Answer: Option A

Solution (By JKSSB Mock Tests)

Numbers 4k, 9k. Difference |4-9|k = 73 ⇒ k = 14. Sum = (4+9)k ≈ 520.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

If a:b = 4:7 and b:c = 7:10, then a:b:c = ?

A. 4:7:10

B. 8:14:20

C. 4:8:10

D. 3:7:11

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 4:7, b:c = 7:10 ⇒ a:b:c = 4:7:10.

This question belongs to: Maths Ratio and Proportion

Question #2

Two numbers are in the ratio 10:5 and their sum is 127. Find the numbers.

A. 61 and 55

B. 92 and 20

C. 160 and 80

D. 80 and 40

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Correct Answer: Option D

Explanation:
Numbers = 10k and 5k. 10k + 5k = 127 ⇒ k = 8. Thus, numbers are 80 and 40.

This question belongs to: Maths Ratio and Proportion

Question #3

Two numbers are in ratio 8:11. Their difference is 86. What is their sum?

A. 344

B. 304

C. 152

D. 427

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Correct Answer: Option B

Explanation:
Numbers 8k, 11k. Difference |8-11|k = 86 ⇒ k = 28. Sum = (8+11)k ≈ 304.

This question belongs to: Maths Ratio and Proportion

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