Two numbers are in the ratio 12:7 and their sum is 291. Find the numbers. MCQ with Answer and Explanation

Two numbers are in the ratio 12:7 and their sum is 291. Find the numbers.
A. 360 and 210
B. 180 and 105
C. 160 and 120
D. 202 and 77
Answer: Option B
Solution (By JKExamLibrary)
Numbers = 12k and 7k. 12k + 7k = 291 ⇒ k = 15. Thus, numbers are 180 and 105.

This question belongs to: Maths Ratio and Proportion

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Ratio and Proportion Questions

Question #1 Report Error
If a:b = 5:9 and b:c = 9:6, then a:b:c = ?
A. 5:9:6
B. 5:10:6
C. 10:18:12
D. 4:9:7

Correct Answer: Option A


Explanation:
Combine ratios: a:b = 5:9, b:c = 9:6 ⇒ a:b:c = 5:9:6.

This question belongs to: Maths Ratio and Proportion
Question #2 Report Error
Ratio of present ages of A and B is 7:5. After 7 years, the ratio becomes 10:8. Present age of A is?
A. 123 years
B. 252 years
C. 126 years
D. 131 years

Correct Answer: Option C


Explanation:
Let ages 7k and 5k. Then (7k + 7)/(5k + 7) = 10/8. Solving gives k ≈ 18, age of A = 7*18 = 126.

This question belongs to: Maths Ratio and Proportion
Question #3 Report Error
Two numbers are in ratio 11:7. Their difference is 58. What is their sum?
A. 350
B. 280
C. 252
D. 126

Correct Answer: Option C


Explanation:
Numbers 11k, 7k. Difference |11-7|k = 58 ⇒ k = 14. Sum = (11+7)k ≈ 252.

This question belongs to: Maths Ratio and Proportion