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

Ratio of present ages of A and B is 7:7. After 10 years, the ratio becomes 10:8. Present age of A is?
A. 150 years
B. 308 years
C. 159 years
D. 154 years
Answer: Option D
Solution (By JKSSB Mock Tests)
Let ages 7k and 7k. Then (7k + 10)/(7k + 10) = 10/8. Solving gives k ≈ 22, age of A = 7*22 = 154.

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Practice More Ratio and Proportion Questions

Question #1
Two numbers are in the ratio 5:6 and their sum is 406. Find the numbers.
A. 360 and 432
B. 180 and 216
C. 160 and 225
D. 196 and 203

Correct Answer: Option B


Explanation:
Numbers = 5k and 6k. 5k + 6k = 406 ⇒ k = 36. Thus, numbers are 180 and 216.

This question belongs to: Maths Ratio and Proportion
Question #2
Find the mean proportional between 4 and 21.
A. 18
B. 12
C. 9
D. 25

Correct Answer: Option C


Explanation:
Mean proportional = √(4 × 21) = √(84) = 9.

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Question #3
Two numbers are in the ratio 11:15 and their sum is 202. Find the numbers.
A. 61 and 114
B. 154 and 210
C. 99 and 94
D. 77 and 105

Correct Answer: Option D


Explanation:
Numbers = 11k and 15k. 11k + 15k = 202 ⇒ k = 7. Thus, numbers are 77 and 105.

This question belongs to: Maths Ratio and Proportion