Ratio of present ages of A and B is 7:5. After 9 years, the ratio becomes 9:6. Present age of A is? MCQ with Answer and Explanation

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Ratio of present ages of A and B is 7:5. After 9 years, the ratio becomes 9:6. Present age of A is?

A. 112 years

B. 117 years

C. 109 years

D. 224 years

Answer: Option A

Solution (By JKSSB Mock Tests)

Let ages 7k and 5k. Then (7k + 9)/(5k + 9) = 9/6. Solving gives k ≈ 16, age of A = 7*16 = 112.

This question belongs to: Maths Ratio and Proportion

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Question #1

If a:b = 4:4 and b:c = 4:8, then a:b:c = ?

A. 3:4:9

B. 8:8:16

C. 4:4:8

D. 4:5:8

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 4:4, b:c = 4:8 ⇒ a:b:c = 4:4:8.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 3:7 and b:c = 7:4, then a:b:c = ?

A. 2:7:5

B. 6:14:8

C. 3:7:4

D. 3:8:4

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 3:7, b:c = 7:4 ⇒ a:b:c = 3:7:4.

This question belongs to: Maths Ratio and Proportion

Question #3

Two numbers are in the ratio 10:5 and their sum is 127. Find the numbers.

A. 80 and 40

B. 92 and 20

C. 61 and 55

D. 160 and 80

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Correct Answer: Option A

Explanation:
Numbers = 10k and 5k. 10k + 5k = 127 ⇒ k = 8. Thus, numbers are 80 and 40.

This question belongs to: Maths Ratio and Proportion

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