Ratio of present ages of A and B is 7:8. After 6 years, the ratio becomes 8:9. Present age of A is? MCQ with Answer and Explanation

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Ratio of present ages of A and B is 7:8. After 6 years, the ratio becomes 8:9. Present age of A is?

A. 105 years

B. 97 years

C. 110 years

D. 210 years

Answer: Option A

Solution (By JKSSB Mock Tests)

Let ages 7k and 8k. Then (7k + 6)/(8k + 6) = 8/9. Solving gives k ≈ 15, age of A = 7*15 = 105.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Two numbers are in ratio 9:5. Their difference is 105. What is their sum?

A. 287

B. 684

C. 633

D. 574

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Correct Answer: Option D

Explanation:
Numbers 9k, 5k. Difference |9-5|k = 105 ⇒ k = 26. Sum = (9+5)k ≈ 574.

This question belongs to: Maths Ratio and Proportion

Question #2

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If a:b = 6:7 and b:c = 7:10, then a:b:c = ?

A. 5:7:11

B. 12:14:20

C. 6:7:10

D. 6:8:10

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 6:7, b:c = 7:10 ⇒ a:b:c = 6:7:10.

This question belongs to: Maths Ratio and Proportion

Question #3

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If a:b = 6:9 and b:c = 9:9, then a:b:c = ?

A. 5:9:10

B. 6:10:9

C. 6:9:9

D. 12:18:18

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 6:9, b:c = 9:9 ⇒ a:b:c = 6:9:9.

This question belongs to: Maths Ratio and Proportion

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