Two numbers are in the ratio 5:6 and their sum is 406. Find the numbers. MCQ with Answer and Explanation

Two numbers are in the ratio 5:6 and their sum is 406. Find the numbers.
A. 160 and 225
B. 196 and 203
C. 360 and 432
D. 180 and 216
Answer: Option D
Solution (By JKExamLibrary)
Numbers = 5k and 6k. 5k + 6k = 406 ⇒ k = 36. Thus, numbers are 180 and 216.

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 15:6 and their sum is 521. Find the numbers.
A. 360 and 144
B. 720 and 288
C. 375 and 127
D. 347 and 158

Correct Answer: Option A


Explanation:
Numbers = 15k and 6k. 15k + 6k = 521 ⇒ k = 24. Thus, numbers are 360 and 144.

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

Correct Answer: Option A


Explanation:
Combine ratios: a:b = 7:7, b:c = 7:9 ⇒ a:b:c = 7:7:9.

This question belongs to: Maths Ratio and Proportion
Question #3 Report Error
If a:b = 2:9 and b:c = 9:7, then a:b:c = ?
A. 2:9:7
B. 2:10:7
C. 4:18:14
D. 1:9:8

Correct Answer: Option A


Explanation:
Combine ratios: a:b = 2:9, b:c = 9:7 ⇒ a:b:c = 2:9:7.

This question belongs to: Maths Ratio and Proportion