Two numbers are in the ratio 7:4 and their sum is 257. Find the numbers. MCQ with Answer and Explanation

Two numbers are in the ratio 7:4 and their sum is 257. Find the numbers.
A. 322 and 184
B. 176 and 65
C. 143 and 110
D. 161 and 92
Answer: Option D
Solution (By JKExamLibrary)
Numbers = 7k and 4k. 7k + 4k = 257 ⇒ k = 23. Thus, numbers are 161 and 92.

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 = 4:7 and b:c = 7:4, then a:b:c = ?
A. 8:14:8
B. 3:7:5
C. 4:8:4
D. 4:7:4

Correct Answer: Option D


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

This question belongs to: Maths Ratio and Proportion
Question #2 Report Error
If a:b = 2:8 and b:c = 8:4, then a:b:c = ?
A. 1:8:5
B. 4:16:8
C. 2:8:4
D. 2:9:4

Correct Answer: Option C


Explanation:
Combine ratios: a:b = 2:8, b:c = 8:4 ⇒ a:b:c = 2:8:4.

This question belongs to: Maths Ratio and Proportion
Question #3 Report Error
Ratio of present ages of A and B is 5:8. After 12 years, the ratio becomes 6:11. Present age of A is?
A. 55 years
B. 110 years
C. 50 years
D. 60 years

Correct Answer: Option A


Explanation:
Let ages 5k and 8k. Then (5k + 12)/(8k + 12) = 6/11. Solving gives k ≈ 11, age of A = 5*11 = 55.

This question belongs to: Maths Ratio and Proportion