Ratio of present ages of A and B is 7:8. After 11 years, the ratio becomes 10:10. Present age of A is? MCQ with Answer and Explanation

Ratio of present ages of A and B is 7:8. After 11 years, the ratio becomes 10:10. Present age of A is?
A. 166 years
B. 322 years
C. 161 years
D. 156 years
Answer: Option C
Solution (By JKExamLibrary)
Let ages 7k and 8k. Then (7k + 11)/(8k + 11) = 10/10. Solving gives k ≈ 23, age of A = 7*23 = 161.

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 = 4:10 and b:c = 10:10, then a:b:c = ?
A. 8:20:20
B. 3:10:11
C. 4:11:10
D. 4:10:10

Correct Answer: Option D


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

This question belongs to: Maths Ratio and Proportion
Question #2 Report Error
Ratio of present ages of A and B is 5:4. After 12 years, the ratio becomes 8:5. Present age of A is?
A. 120 years
B. 115 years
C. 111 years
D. 230 years

Correct Answer: Option B


Explanation:
Let ages 5k and 4k. Then (5k + 12)/(4k + 12) = 8/5. Solving gives k ≈ 23, age of A = 5*23 = 115.

This question belongs to: Maths Ratio and Proportion
Question #3 Report Error
Two numbers are in ratio 6:4. Their difference is 60. What is their sum?
A. 497
B. 175
C. 381
D. 350

Correct Answer: Option D


Explanation:
Numbers 6k, 4k. Difference |6-4|k = 60 ⇒ k = 30. Sum = (6+4)k ≈ 350.

This question belongs to: Maths Ratio and Proportion