Two numbers are in the ratio 4:3 and their sum is 631. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 4:3 and their sum is 631. Find the numbers.

A. 347 and 287

B. 720 and 540

C. 360 and 270

D. 380 and 258

Answer: Option C

Solution (By JKSSB Mock Tests)

Numbers = 4k and 3k. 4k + 3k = 631 ⇒ k = 90. Thus, numbers are 360 and 270.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

Two numbers are in ratio 4:12. Their difference is 122. What is their sum?

A. 338

B. 208

C. 104

D. 244

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Correct Answer: Option B

Explanation:
Numbers 4k, 12k. Difference |4-12|k = 122 ⇒ k = 15. Sum = (4+12)k ≈ 208.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 5:4 and b:c = 4:5, then a:b:c = ?

A. 5:4:5

B. 5:5:5

C. 10:8:10

D. 4:4:6

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 5:4, b:c = 4:5 ⇒ a:b:c = 5:4:5.

This question belongs to: Maths Ratio and Proportion

Question #3

Ratio of present ages of A and B is 4:8. After 6 years, the ratio becomes 5:10. Present age of A is?

A. 52 years

B. 112 years

C. 61 years

D. 56 years

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Correct Answer: Option D

Explanation:
Let ages 4k and 8k. Then (4k + 6)/(8k + 6) = 5/10. Solving gives k ≈ 14, age of A = 4*14 = 56.

This question belongs to: Maths Ratio and Proportion

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