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 JKExamLibrary)

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 Report Error

If a:b = 2:5 and b:c = 5:10, then a:b:c = ?

A. 2:6:10

B. 4:10:20

C. 2:5:10

D. 1:5:11

View Answer & Solution Discuss

Correct Answer: Option C

Explanation:
Combine ratios: a:b = 2:5, b:c = 5:10 ⇒ a:b:c = 2:5:10.

This question belongs to: Maths Ratio and Proportion

Question #2 Report Error

Two numbers are in the ratio 8:6 and their sum is 434. Find the numbers.

A. 262 and 167

B. 230 and 206

C. 496 and 372

D. 248 and 186

View Answer & Solution Discuss

Correct Answer: Option D

Explanation:
Numbers = 8k and 6k. 8k + 6k = 434 ⇒ k = 31. Thus, numbers are 248 and 186.

This question belongs to: Maths Ratio and Proportion

Question #3 Report Error

If a:b = 3:6 and b:c = 6:4, then a:b:c = ?

A. 2:6:5

B. 3:7:4

C. 3:6:4

D. 6:12:8

View Answer & Solution Discuss

Correct Answer: Option C

Explanation:
Combine ratios: a:b = 3:6, b:c = 6:4 ⇒ a:b:c = 3:6:4.

This question belongs to: Maths Ratio and Proportion

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