Two numbers are in ratio 7:12. Their difference is 120. What is their sum? MCQ with Answer and Explanation

Two numbers are in ratio 7:12. Their difference is 120. What is their sum?
A. 275
B. 593
C. 551
D. 658
Answer: Option C
Solution (By JKSSB Mock Tests)
Numbers 7k, 12k. Difference |7-12|k = 120 ⇒ k = 24. Sum = (7+12)k ≈ 551.

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Practice More Ratio and Proportion Questions

Question #1
Ratio of present ages of A and B is 3:6. After 8 years, the ratio becomes 5:8. Present age of A is?
A. 69 years
B. 66 years
C. 138 years
D. 74 years

Correct Answer: Option A


Explanation:
Let ages 3k and 6k. Then (3k + 8)/(6k + 8) = 5/8. Solving gives k ≈ 23, age of A = 3*23 = 69.

This question belongs to: Maths Ratio and Proportion
Question #2
If a:b = 7:6 and b:c = 6:7, then a:b:c = ?
A. 6:6:8
B. 14:12:14
C. 7:6:7
D. 7:7:7

Correct Answer: Option C


Explanation:
Combine ratios: a:b = 7:6, b:c = 6:7 ⇒ a:b:c = 7:6:7.

This question belongs to: Maths Ratio and Proportion
Question #3
Ratio of present ages of A and B is 7:8. After 12 years, the ratio becomes 8:9. Present age of A is?
A. 70 years
B. 77 years
C. 154 years
D. 82 years

Correct Answer: Option B


Explanation:
Let ages 7k and 8k. Then (7k + 12)/(8k + 12) = 8/9. Solving gives k ≈ 11, age of A = 7*11 = 77.

This question belongs to: Maths Ratio and Proportion