Two numbers are in ratio 9:11. Their difference is 102. What is their sum? MCQ with Answer and Explanation

Two numbers are in ratio 9:11. Their difference is 102. What is their sum?
A. 482
B. 422
C. 200
D. 400
Answer: Option D
Solution (By JKExamLibrary)
Numbers 9k, 11k. Difference |9-11|k = 102 ⇒ k = 51. Sum = (9+11)k ≈ 400.

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 15:12 and their sum is 319. Find the numbers.
A. 165 and 132
B. 147 and 149
C. 184 and 102
D. 330 and 264

Correct Answer: Option A


Explanation:
Numbers = 15k and 12k. 15k + 12k = 319 ⇒ k = 11. Thus, numbers are 165 and 132.

This question belongs to: Maths Ratio and Proportion
Question #2 Report Error
Two numbers are in ratio 10:4. Their difference is 127. What is their sum?
A. 388
B. 175
C. 350
D. 449

Correct Answer: Option C


Explanation:
Numbers 10k, 4k. Difference |10-4|k = 127 ⇒ k = 21. Sum = (10+4)k ≈ 350.

This question belongs to: Maths Ratio and Proportion
Question #3 Report Error
Two numbers are in ratio 9:5. Their difference is 112. What is their sum?
A. 569
B. 448
C. 420
D. 210

Correct Answer: Option C


Explanation:
Numbers 9k, 5k. Difference |9-5|k = 112 ⇒ k = 28. Sum = (9+5)k ≈ 420.

This question belongs to: Maths Ratio and Proportion