Two numbers are in the ratio 5:14 and their sum is 285. Find the numbers. MCQ with Answer and Explanation

Two numbers are in the ratio 5:14 and their sum is 285. Find the numbers.
A. 96 and 184
B. 150 and 420
C. 75 and 210
D. 58 and 219
Answer: Option C
Solution (By JKSSB Mock Tests)
Numbers = 5k and 14k. 5k + 14k = 285 ⇒ k = 15. Thus, numbers are 75 and 210.

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Practice More Ratio and Proportion Questions

Question #1
If a:b = 6:7 and b:c = 7:4, then a:b:c = ?
A. 12:14:8
B. 5:7:5
C. 6:8:4
D. 6:7:4

Correct Answer: Option D


Explanation:
Combine ratios: a:b = 6:7, b:c = 7:4 ⇒ a:b:c = 6:7:4.

This question belongs to: Maths Ratio and Proportion
Question #2
If a:b = 8:9 and b:c = 9:6, then a:b:c = ?
A. 16:18:12
B. 7:9:7
C. 8:10:6
D. 8:9:6

Correct Answer: Option D


Explanation:
Combine ratios: a:b = 8:9, b:c = 9:6 ⇒ a:b:c = 8:9:6.

This question belongs to: Maths Ratio and Proportion
Question #3
Two numbers are in the ratio 15:6 and their sum is 278. Find the numbers.
A. 181 and 92
B. 195 and 78
C. 221 and 61
D. 390 and 156

Correct Answer: Option B


Explanation:
Numbers = 15k and 6k. 15k + 6k = 278 ⇒ k = 13. Thus, numbers are 195 and 78.

This question belongs to: Maths Ratio and Proportion