Ratio of present ages of A and B is 4:4. After 6 years, the ratio becomes 7:7. Present age of A is? MCQ with Answer and Explanation

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Ratio of present ages of A and B is 4:4. After 6 years, the ratio becomes 7:7. Present age of A is?

A. 105 years

B. 100 years

C. 200 years

D. 96 years

Answer: Option B

Solution (By JKExamLibrary)

Let ages 4k and 4k. Then (4k + 6)/(4k + 6) = 7/7. Solving gives k ≈ 25, age of A = 4*25 = 100.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

If a:b = 4:8 and b:c = 8:7, then a:b:c = ?

A. 3:8:8

B. 8:16:14

C. 4:9:7

D. 4:8:7

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 4:8, b:c = 8:7 ⇒ a:b:c = 4:8:7.

This question belongs to: Maths Ratio and Proportion

Question #2

Ratio of present ages of A and B is 4:5. After 5 years, the ratio becomes 5:8. Present age of A is?

A. 81 years

B. 152 years

C. 76 years

D. 68 years

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Correct Answer: Option C

Explanation:
Let ages 4k and 5k. Then (4k + 5)/(5k + 5) = 5/8. Solving gives k ≈ 19, age of A = 4*19 = 76.

This question belongs to: Maths Ratio and Proportion

Question #3

Two numbers are in the ratio 10:13 and their sum is 454. Find the numbers.

A. 380 and 494

B. 204 and 226

C. 190 and 247

D. 174 and 258

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Correct Answer: Option C

Explanation:
Numbers = 10k and 13k. 10k + 13k = 454 ⇒ k = 19. Thus, numbers are 190 and 247.

This question belongs to: Maths Ratio and Proportion

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