Two numbers are in the ratio 12:9 and their sum is 569. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 12:9 and their sum is 569. Find the numbers.

A. 317 and 258

B. 648 and 486

C. 341 and 215

D. 324 and 243

Answer: Option D

Solution (By JKSSB Mock Tests)

Numbers = 12k and 9k. 12k + 9k = 569 ⇒ k = 27. Thus, numbers are 324 and 243.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

Find the mean proportional between 7 and 28.

A. 35

B. 14

C. 17

D. 28

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Correct Answer: Option B

Explanation:
Mean proportional = √(7 × 28) = √(196) = 14.

This question belongs to: Maths Ratio and Proportion

Question #2

Two numbers are in the ratio 7:15 and their sum is 349. Find the numbers.

A. 105 and 225

B. 94 and 237

C. 210 and 450

D. 115 and 199

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Correct Answer: Option A

Explanation:
Numbers = 7k and 15k. 7k + 15k = 349 ⇒ k = 15. Thus, numbers are 105 and 225.

This question belongs to: Maths Ratio and Proportion

Question #3

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

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Correct Answer: Option A

Explanation:
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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