Two numbers are in the ratio 7:15 and their sum is 454. Find the numbers. MCQ with Answer and Explanation

Two numbers are in the ratio 7:15 and their sum is 454. Find the numbers.
A. 126 and 320
B. 140 and 300
C. 170 and 281
D. 280 and 600
Answer: Option B
Solution (By JKSSB Mock Tests)
Numbers = 7k and 15k. 7k + 15k = 454 ⇒ k = 20. Thus, numbers are 140 and 300.

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Practice More Ratio and Proportion Questions

Question #1
Two numbers are in the ratio 12:6 and their sum is 224. Find the numbers.
A. 156 and 45
B. 132 and 88
C. 144 and 72
D. 288 and 144

Correct Answer: Option C


Explanation:
Numbers = 12k and 6k. 12k + 6k = 224 ⇒ k = 12. Thus, numbers are 144 and 72.

This question belongs to: Maths Ratio and Proportion
Question #2
If a:b = 7:5 and b:c = 5:8, then a:b:c = ?
A. 7:5:8
B. 7:6:8
C. 14:10:16
D. 6:5:9

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
Question #3
If a:b = 8:3 and b:c = 3:6, then a:b:c = ?
A. 7:3:7
B. 8:4:6
C. 16:6:12
D. 8:3:6

Correct Answer: Option D


Explanation:
Combine ratios: a:b = 8:3, b:c = 3:6 ⇒ a:b:c = 8:3:6.

This question belongs to: Maths Ratio and Proportion