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. 210 years

B. 105 years

C. 110 years

D. 97 years

Answer: Option B

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 the ratio 7:15 and their sum is 454. Find the numbers.

A. 126 and 320

B. 170 and 281

C. 140 and 300

D. 280 and 600

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Correct Answer: Option C

Explanation:
Numbers = 7k and 15k. 7k + 15k = 454 ⇒ k = 20. Thus, numbers are 140 and 300.

This question belongs to: Maths Ratio and Proportion

Question #2

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If a:b = 3:7 and b:c = 7:9, then a:b:c = ?

A. 2:7:10

B. 3:8:9

C. 6:14:18

D. 3:7:9

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 3:7, b:c = 7:9 ⇒ a:b:c = 3:7:9.

This question belongs to: Maths Ratio and Proportion

Question #3

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Two numbers are in the ratio 12:8 and their sum is 523. Find the numbers.

A. 312 and 208

B. 333 and 191

C. 294 and 220

D. 624 and 416

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Correct Answer: Option A

Explanation:
Numbers = 12k and 8k. 12k + 8k = 523 ⇒ k = 26. Thus, numbers are 312 and 208.

This question belongs to: Maths Ratio and Proportion

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