Two numbers are in ratio 10:6. Their difference is 122. What is their sum? MCQ with Answer and Explanation

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Two numbers are in ratio 10:6. Their difference is 122. What is their sum?

A. 582

B. 630

C. 544

D. 272

Answer: Option C

Solution (By JKSSB Mock Tests)

Numbers 10k, 6k. Difference |10-6|k = 122 ⇒ k = 30. Sum = (10+6)k ≈ 544.

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 8:11. Their difference is 86. What is their sum?

A. 344

B. 304

C. 427

D. 152

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Correct Answer: Option B

Explanation:
Numbers 8k, 11k. Difference |8-11|k = 86 ⇒ k = 28. Sum = (8+11)k ≈ 304.

This question belongs to: Maths Ratio and Proportion

Question #2

Ratio of present ages of A and B is 7:4. After 9 years, the ratio becomes 10:5. Present age of A is?

A. 161 years

B. 168 years

C. 336 years

D. 173 years

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Correct Answer: Option B

Explanation:
Let ages 7k and 4k. Then (7k + 9)/(4k + 9) = 10/5. Solving gives k ≈ 24, age of A = 7*24 = 168.

This question belongs to: Maths Ratio and Proportion

Question #3

Ratio of present ages of A and B is 6:5. After 5 years, the ratio becomes 7:6. Present age of A is?

A. 108 years

B. 59 years

C. 54 years

D. 48 years

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Correct Answer: Option C

Explanation:
Let ages 6k and 5k. Then (6k + 5)/(5k + 5) = 7/6. Solving gives k ≈ 9, age of A = 6*9 = 54.

This question belongs to: Maths Ratio and Proportion

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