Two numbers are in ratio 9:11. Their difference is 54. What is their sum? MCQ with Answer and Explanation

Two numbers are in ratio 9:11. Their difference is 54. What is their sum?
A. 260
B. 130
C. 316
D. 383
Answer: Option A
Solution (By JKExamLibrary)
Numbers 9k, 11k. Difference |9-11|k = 54 ⇒ k = 27. Sum = (9+11)k ≈ 260.

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 = 8:8 and b:c = 8:11, then a:b:c = ?
A. 7:8:12
B. 16:16:22
C. 8:9:11
D. 8:8:11

Correct Answer: Option D


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

This question belongs to: Maths Ratio and Proportion
Question #2 Report Error
Ratio of present ages of A and B is 3:5. After 5 years, the ratio becomes 5:6. Present age of A is?
A. 47 years
B. 42 years
C. 84 years
D. 36 years

Correct Answer: Option B


Explanation:
Let ages 3k and 5k. Then (3k + 5)/(5k + 5) = 5/6. Solving gives k ≈ 14, age of A = 3*14 = 42.

This question belongs to: Maths Ratio and Proportion
Question #3 Report Error
If a:b = 4:10 and b:c = 10:12, then a:b:c = ?
A. 4:10:12
B. 8:20:24
C. 3:10:13
D. 4:11:12

Correct Answer: Option A


Explanation:
Combine ratios: a:b = 4:10, b:c = 10:12 ⇒ a:b:c = 4:10:12.

This question belongs to: Maths Ratio and Proportion