Two numbers are in the ratio 12:9 and their sum is 569. Find the numbers. MCQ with Answer and Explanation

Two numbers are in the ratio 12:9 and their sum is 569. Find the numbers.
A. 317 and 258
B. 324 and 243
C. 648 and 486
D. 341 and 215
Answer: Option B
Solution (By JKExamLibrary)
Numbers = 12k and 9k. 12k + 9k = 569 ⇒ k = 27. Thus, numbers are 324 and 243.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1 Report Error
Two numbers are in ratio 12:10. Their difference is 74. What is their sum?
A. 312
B. 264
C. 132
D. 387

Correct Answer: Option B


Explanation:
Numbers 12k, 10k. Difference |12-10|k = 74 ⇒ k = 37. Sum = (12+10)k ≈ 264.

This question belongs to: Maths Ratio and Proportion
Question #2 Report Error
Ratio of present ages of A and B is 7:4. After 7 years, the ratio becomes 10:5. Present age of A is?
A. 78 years
B. 84 years
C. 89 years
D. 168 years

Correct Answer: Option B


Explanation:
Let ages 7k and 4k. Then (7k + 7)/(4k + 7) = 10/5. Solving gives k ≈ 12, age of A = 7*12 = 84.

This question belongs to: Maths Ratio and Proportion
Question #3 Report Error
Ratio of present ages of A and B is 6:6. After 12 years, the ratio becomes 8:7. Present age of A is?
A. 72 years
B. 77 years
C. 64 years
D. 144 years

Correct Answer: Option A


Explanation:
Let ages 6k and 6k. Then (6k + 12)/(6k + 12) = 8/7. Solving gives k ≈ 12, age of A = 6*12 = 72.

This question belongs to: Maths Ratio and Proportion