Two numbers are in the ratio 14:12 and their sum is 772. Find the numbers. MCQ with Answer and Explanation

Two numbers are in the ratio 14:12 and their sum is 772. Find the numbers.
A. 406 and 348
B. 421 and 329
C. 812 and 696
D. 389 and 367
Answer: Option A
Solution (By JKExamLibrary)
Numbers = 14k and 12k. 14k + 12k = 772 ⇒ k = 29. Thus, numbers are 406 and 348.

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 the ratio 12:9 and their sum is 569. Find the numbers.
A. 317 and 258
B. 648 and 486
C. 324 and 243
D. 341 and 215

Correct Answer: Option C


Explanation:
Numbers = 12k and 9k. 12k + 9k = 569 ⇒ k = 27. Thus, numbers are 324 and 243.

This question belongs to: Maths Ratio and Proportion
Question #2 Report Error
If a:b = 7:9 and b:c = 9:8, then a:b:c = ?
A. 14:18:16
B. 6:9:9
C. 7:9:8
D. 7:10:8

Correct Answer: Option C


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
Question #3 Report Error
If a:b = 7:5 and b:c = 5:8, then a:b:c = ?
A. 7:5:8
B. 6:5:9
C. 14:10:16
D. 7:6:8

Correct Answer: Option A


Explanation:
Combine ratios: a:b = 7:5, b:c = 5:8 ⇒ a:b:c = 7:5:8.

This question belongs to: Maths Ratio and Proportion