Ratio of present ages of A and B is 3:8. After 10 years, the ratio becomes 4:10. Present age of A is? MCQ with Answer and Explanation

Ratio of present ages of A and B is 3:8. After 10 years, the ratio becomes 4:10. Present age of A is?
A. 51 years
B. 44 years
C. 56 years
D. 102 years
Answer: Option A
Solution (By JKExamLibrary)
Let ages 3k and 8k. Then (3k + 10)/(8k + 10) = 4/10. Solving gives k ≈ 17, age of A = 3*17 = 51.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1 Report Error
Two numbers are in the ratio 11:9 and their sum is 682. Find the numbers.
A. 748 and 612
B. 374 and 306
C. 399 and 285
D. 367 and 312

Correct Answer: Option B


Explanation:
Numbers = 11k and 9k. 11k + 9k = 682 ⇒ k = 34. Thus, numbers are 374 and 306.

This question belongs to: Maths Ratio and Proportion
Question #2 Report Error
If a:b = 2:8 and b:c = 8:5, then a:b:c = ?
A. 4:16:10
B. 2:9:5
C. 2:8:5
D. 1:8:6

Correct Answer: Option C


Explanation:
Combine ratios: a:b = 2:8, b:c = 8:5 ⇒ a:b:c = 2:8:5.

This question belongs to: Maths Ratio and Proportion
Question #3 Report Error
If a:b = 2:7 and b:c = 7:12, then a:b:c = ?
A. 4:14:24
B. 2:7:12
C. 1:7:13
D. 2:8:12

Correct Answer: Option B


Explanation:
Combine ratios: a:b = 2:7, b:c = 7:12 ⇒ a:b:c = 2:7:12.

This question belongs to: Maths Ratio and Proportion