Two numbers are in the ratio 12:9 and their sum is 368. Find the numbers. MCQ with Answer and Explanation

Two numbers are in the ratio 12:9 and their sum is 368. Find the numbers.
A. 408 and 306
B. 187 and 162
C. 219 and 124
D. 204 and 153
Answer: Option D
Solution (By JKExamLibrary)
Numbers = 12k and 9k. 12k + 9k = 368 ⇒ k = 17. Thus, numbers are 204 and 153.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1 Report Error
Ratio of present ages of A and B is 6:7. After 7 years, the ratio becomes 8:8. Present age of A is?
A. 138 years
B. 143 years
C. 134 years
D. 276 years

Correct Answer: Option A


Explanation:
Let ages 6k and 7k. Then (6k + 7)/(7k + 7) = 8/8. Solving gives k ≈ 23, age of A = 6*23 = 138.

This question belongs to: Maths Ratio and Proportion
Question #2 Report Error
Two numbers are in the ratio 11:5 and their sum is 789. Find the numbers.
A. 1078 and 490
B. 539 and 245
C. 524 and 251
D. 566 and 224

Correct Answer: Option B


Explanation:
Numbers = 11k and 5k. 11k + 5k = 789 ⇒ k = 49. Thus, numbers are 539 and 245.

This question belongs to: Maths Ratio and Proportion
Question #3 Report Error
If a:b = 3:4 and b:c = 4:11, then a:b:c = ?
A. 3:5:11
B. 6:8:22
C. 3:4:11
D. 2:4:12

Correct Answer: Option C


Explanation:
Combine ratios: a:b = 3:4, b:c = 4:11 ⇒ a:b:c = 3:4:11.

This question belongs to: Maths Ratio and Proportion