Two numbers are in the ratio 5:3 and their sum is 449. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 5:3 and their sum is 449. Find the numbers.

A. 560 and 336

B. 296 and 147

C. 274 and 173

D. 280 and 168

Answer: Option D

Solution (By JKSSB Mock Tests)

Numbers = 5k and 3k. 5k + 3k = 449 ⇒ k = 56. Thus, numbers are 280 and 168.

This question belongs to: Maths Ratio and Proportion

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Question #1

Two numbers are in the ratio 4:8 and their sum is 512. Find the numbers.

A. 162 and 351

B. 178 and 309

C. 168 and 336

D. 336 and 672

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Correct Answer: Option C

Explanation:
Numbers = 4k and 8k. 4k + 8k = 512 ⇒ k = 42. Thus, numbers are 168 and 336.

This question belongs to: Maths Ratio and Proportion

Question #2

Two numbers are in ratio 12:7. Their difference is 51. What is their sum?

A. 456

B. 596

C. 504

D. 228

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Correct Answer: Option A

Explanation:
Numbers 12k, 7k. Difference |12-7|k = 51 ⇒ k = 10. Sum = (12+7)k ≈ 456.

This question belongs to: Maths Ratio and Proportion

Question #3

Ratio of present ages of A and B is 7:8. After 4 years, the ratio becomes 10:11. Present age of A is?

A. 138 years

B. 133 years

C. 266 years

D. 128 years

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Correct Answer: Option B

Explanation:
Let ages 7k and 8k. Then (7k + 4)/(8k + 4) = 10/11. Solving gives k ≈ 19, age of A = 7*19 = 133.

This question belongs to: Maths Ratio and Proportion

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