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

Two numbers are in ratio 4:9. Their difference is 73. What is their sum?
A. 520
B. 557
C. 260
D. 656
Answer: Option A
Solution (By JKExamLibrary)
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 Report Error
Two numbers are in the ratio 15:4 and their sum is 182. Find the numbers.
A. 155 and 15
B. 270 and 72
C. 135 and 36
D. 118 and 54

Correct Answer: Option C


Explanation:
Numbers = 15k and 4k. 15k + 4k = 182 ⇒ k = 9. Thus, numbers are 135 and 36.

This question belongs to: Maths Ratio and Proportion
Question #2 Report Error
If a:b = 8:8 and b:c = 8:10, then a:b:c = ?
A. 8:8:10
B. 7:8:11
C. 8:9:10
D. 16:16:20

Correct Answer: Option A


Explanation:
Combine ratios: a:b = 8:8, b:c = 8:10 ⇒ a:b:c = 8:8:10.

This question belongs to: Maths Ratio and Proportion
Question #3 Report Error
Two numbers are in the ratio 5:14 and their sum is 285. Find the numbers.
A. 96 and 184
B. 75 and 210
C. 58 and 219
D. 150 and 420

Correct Answer: Option B


Explanation:
Numbers = 5k and 14k. 5k + 14k = 285 ⇒ k = 15. Thus, numbers are 75 and 210.

This question belongs to: Maths Ratio and Proportion