Ratio of present ages of A and B is 4:7. After 12 years, the ratio becomes 6:9. Present age of A is? MCQ with Answer and Explanation

Ratio of present ages of A and B is 4:7. After 12 years, the ratio becomes 6:9. Present age of A is?
A. 44 years
B. 49 years
C. 88 years
D. 40 years
Answer: Option A
Solution (By JKSSB Mock Tests)
Let ages 4k and 7k. Then (4k + 12)/(7k + 12) = 6/9. Solving gives k ≈ 11, age of A = 4*11 = 44.

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Practice More Ratio and Proportion Questions

Question #1
Ratio of present ages of A and B is 5:5. After 7 years, the ratio becomes 6:7. Present age of A is?
A. 110 years
B. 50 years
C. 60 years
D. 55 years

Correct Answer: Option D


Explanation:
Let ages 5k and 5k. Then (5k + 7)/(5k + 7) = 6/7. Solving gives k ≈ 11, age of A = 5*11 = 55.

This question belongs to: Maths Ratio and Proportion
Question #2
Two numbers are in ratio 7:10. Their difference is 99. What is their sum?
A. 229
B. 482
C. 546
D. 459

Correct Answer: Option D


Explanation:
Numbers 7k, 10k. Difference |7-10|k = 99 ⇒ k = 33. Sum = (7+10)k ≈ 459.

This question belongs to: Maths Ratio and Proportion
Question #3
Ratio of present ages of A and B is 3:7. After 5 years, the ratio becomes 5:10. Present age of A is?
A. 72 years
B. 77 years
C. 65 years
D. 144 years

Correct Answer: Option A


Explanation:
Let ages 3k and 7k. Then (3k + 5)/(7k + 5) = 5/10. Solving gives k ≈ 24, age of A = 3*24 = 72.

This question belongs to: Maths Ratio and Proportion