Two numbers are in ratio 9:7. Their difference is 150. What is their sum? MCQ with Answer and Explanation

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Two numbers are in ratio 9:7. Their difference is 150. What is their sum?

A. 288

B. 144

C. 423

D. 326

Answer: Option A

Solution (By JKSSB Mock Tests)

Numbers 9k, 7k. Difference |9-7|k = 150 ⇒ k = 75. Sum = (9+7)k ≈ 288.

This question belongs to: Maths Ratio and Proportion

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Question #1

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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. 56 years

C. 112 years

D. 61 years

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Correct Answer: Option B

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

Question #2

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Two numbers are in the ratio 12:9 and their sum is 602. Find the numbers.

A. 365 and 225

B. 672 and 504

C. 328 and 270

D. 336 and 252

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Correct Answer: Option D

Explanation:
Numbers = 12k and 9k. 12k + 9k = 602 ⇒ k = 28. Thus, numbers are 336 and 252.

This question belongs to: Maths Ratio and Proportion

Question #3

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If a:b = 7:9 and b:c = 9:8, then a:b:c = ?

A. 14:18:16

B. 7:9:8

C. 6:9:9

D. 7:10:8

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 7:9, b:c = 9:8 ⇒ a:b:c = 7:9:8.

This question belongs to: Maths Ratio and Proportion

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