Two numbers are in the ratio 15:12 and their sum is 319. Find the numbers. MCQ with Answer and Explanation

Two numbers are in the ratio 15:12 and their sum is 319. Find the numbers.
A. 184 and 102
B. 147 and 149
C. 330 and 264
D. 165 and 132
Answer: Option D
Solution (By JKExamLibrary)
Numbers = 15k and 12k. 15k + 12k = 319 ⇒ k = 11. Thus, numbers are 165 and 132.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1 Report Error
If a:b = 7:5 and b:c = 5:5, then a:b:c = ?
A. 6:5:6
B. 14:10:10
C. 7:5:5
D. 7:6:5

Correct Answer: Option C


Explanation:
Combine ratios: a:b = 7:5, b:c = 5:5 ⇒ a:b:c = 7:5:5.

This question belongs to: Maths Ratio and Proportion
Question #2 Report Error
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. 138 years
B. 74 years
C. 66 years
D. 69 years

Correct Answer: Option D


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

Correct Answer: Option C


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

This question belongs to: Maths Ratio and Proportion