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

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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

Answer: Option B

Solution (By JKSSB Mock Tests)

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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Practice More Ratio and Proportion Questions

Question #1

Two numbers are in the ratio 11:15 and their sum is 202. Find the numbers.

A. 99 and 94

B. 154 and 210

C. 77 and 105

D. 61 and 114

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Correct Answer: Option C

Explanation:
Numbers = 11k and 15k. 11k + 15k = 202 ⇒ k = 7. Thus, numbers are 77 and 105.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 7:8 and b:c = 8:11, then a:b:c = ?

A. 7:9:11

B. 14:16:22

C. 6:8:12

D. 7:8:11

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 7:8, b:c = 8:11 ⇒ a:b:c = 7:8:11.

This question belongs to: Maths Ratio and Proportion

Question #3

Two numbers are in ratio 8:6. Their difference is 142. What is their sum?

A. 574

B. 624

C. 287

D. 660

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Correct Answer: Option A

Explanation:
Numbers 8k, 6k. Difference |8-6|k = 142 ⇒ k = 71. Sum = (8+6)k ≈ 574.

This question belongs to: Maths Ratio and Proportion

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