Two numbers are in ratio 9:5. Their difference is 105. What is their sum? MCQ with Answer and Explanation

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Two numbers are in ratio 9:5. Their difference is 105. What is their sum?

A. 633

B. 574

C. 287

D. 684

Answer: Option B

Solution (By JKSSB Mock Tests)

Numbers 9k, 5k. Difference |9-5|k = 105 ⇒ k = 26. Sum = (9+5)k ≈ 574.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

If a:b = 7:5 and b:c = 5:12, then a:b:c = ?

A. 6:5:13

B. 7:5:12

C. 7:6:12

D. 14:10:24

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 7:5, b:c = 5:12 ⇒ a:b:c = 7:5:12.

This question belongs to: Maths Ratio and Proportion

Question #2

Two numbers are in the ratio 12:15 and their sum is 313. Find the numbers.

A. 117 and 176

B. 264 and 330

C. 156 and 136

D. 132 and 165

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Correct Answer: Option D

Explanation:
Numbers = 12k and 15k. 12k + 15k = 313 ⇒ k = 11. Thus, numbers are 132 and 165.

This question belongs to: Maths Ratio and Proportion

Question #3

Two numbers are in ratio 8:12. Their difference is 61. What is their sum?

A. 160

B. 357

C. 320

D. 452

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Correct Answer: Option C

Explanation:
Numbers 8k, 12k. Difference |8-12|k = 61 ⇒ k = 15. Sum = (8+12)k ≈ 320.

This question belongs to: Maths Ratio and Proportion

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