Ratio of present ages of A and B is 7:5. After 10 years, the ratio becomes 8:8. Present age of A is? MCQ with Answer and Explanation

Ratio of present ages of A and B is 7:5. After 10 years, the ratio becomes 8:8. Present age of A is?
A. 266 years
B. 127 years
C. 138 years
D. 133 years
Answer: Option D
Solution (By JKSSB Mock Tests)
Let ages 7k and 5k. Then (7k + 10)/(5k + 10) = 8/8. Solving gives k ≈ 19, age of A = 7*19 = 133.

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Practice More Ratio and Proportion Questions

Question #1
Two numbers are in the ratio 12:5 and their sum is 771. Find the numbers.
A. 540 and 225
B. 1080 and 450
C. 523 and 234
D. 556 and 206

Correct Answer: Option A


Explanation:
Numbers = 12k and 5k. 12k + 5k = 771 ⇒ k = 45. Thus, numbers are 540 and 225.

This question belongs to: Maths Ratio and Proportion
Question #2
Find the mean proportional between 16 and 39.
A. 55
B. 48
C. 24
D. 27

Correct Answer: Option C


Explanation:
Mean proportional = √(16 × 39) = √(624) = 24.

This question belongs to: Maths Ratio and Proportion
Question #3
Ratio of present ages of A and B is 4:8. After 8 years, the ratio becomes 6:10. Present age of A is?
A. 49 years
B. 88 years
C. 37 years
D. 44 years

Correct Answer: Option D


Explanation:
Let ages 4k and 8k. Then (4k + 8)/(8k + 8) = 6/10. Solving gives k ≈ 11, age of A = 4*11 = 44.

This question belongs to: Maths Ratio and Proportion