Two numbers are in ratio 9:5. Their difference is 112. What is their sum? MCQ with Answer and Explanation

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Two numbers are in ratio 9:5. Their difference is 112. What is their sum?

A. 210

B. 420

C. 569

D. 448

Answer: Option B

Solution (By JKSSB Mock Tests)

Numbers 9k, 5k. Difference |9-5|k = 112 ⇒ k = 28. Sum = (9+5)k ≈ 420.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

Two numbers are in the ratio 13:10 and their sum is 746. Find the numbers.

A. 832 and 640

B. 416 and 320

C. 434 and 298

D. 403 and 338

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Correct Answer: Option B

Explanation:
Numbers = 13k and 10k. 13k + 10k = 746 ⇒ k = 32. Thus, numbers are 416 and 320.

This question belongs to: Maths Ratio and Proportion

Question #2

Ratio of present ages of A and B is 5:8. After 6 years, the ratio becomes 6:11. Present age of A is?

A. 160 years

B. 85 years

C. 80 years

D. 74 years

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Correct Answer: Option C

Explanation:
Let ages 5k and 8k. Then (5k + 6)/(8k + 6) = 6/11. Solving gives k ≈ 16, age of A = 5*16 = 80.

This question belongs to: Maths Ratio and Proportion

Question #3

Two numbers are in the ratio 11:15 and their sum is 202. Find the numbers.

A. 77 and 105

B. 61 and 114

C. 154 and 210

D. 99 and 94

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Correct Answer: Option A

Explanation:
Numbers = 11k and 15k. 11k + 15k = 202 ⇒ k = 7. Thus, numbers are 77 and 105.

This question belongs to: Maths Ratio and Proportion

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