Ratio of present ages of A and B is 5:6. After 9 years, the ratio becomes 7:7. Present age of A is? MCQ with Answer and Explanation

Ratio of present ages of A and B is 5:6. After 9 years, the ratio becomes 7:7. Present age of A is?
A. 100 years
B. 200 years
C. 95 years
D. 105 years
Answer: Option A
Solution (By JKExamLibrary)
Let ages 5k and 6k. Then (5k + 9)/(6k + 9) = 7/7. Solving gives k ≈ 20, age of A = 5*20 = 100.

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 = 8:3 and b:c = 3:9, then a:b:c = ?
A. 7:3:10
B. 8:4:9
C. 16:6:18
D. 8:3:9

Correct Answer: Option D


Explanation:
Combine ratios: a:b = 8:3, b:c = 3:9 ⇒ a:b:c = 8:3:9.

This question belongs to: Maths Ratio and Proportion
Question #2 Report Error
Two numbers are in ratio 12:7. Their difference is 51. What is their sum?
A. 596
B. 228
C. 456
D. 504

Correct Answer: Option C


Explanation:
Numbers 12k, 7k. Difference |12-7|k = 51 ⇒ k = 10. Sum = (12+7)k ≈ 456.

This question belongs to: Maths Ratio and Proportion
Question #3 Report Error
If a:b = 3:6 and b:c = 6:7, then a:b:c = ?
A. 3:6:7
B. 6:12:14
C. 2:6:8
D. 3:7:7

Correct Answer: Option A


Explanation:
Combine ratios: a:b = 3:6, b:c = 6:7 ⇒ a:b:c = 3:6:7.

This question belongs to: Maths Ratio and Proportion