Two numbers are in the ratio 10:13 and their sum is 454. Find the numbers. MCQ with Answer and Explanation

Two numbers are in the ratio 10:13 and their sum is 454. Find the numbers.
A. 190 and 247
B. 204 and 226
C. 380 and 494
D. 174 and 258
Answer: Option A
Solution (By JKSSB Mock Tests)
Numbers = 10k and 13k. 10k + 13k = 454 ⇒ k = 19. Thus, numbers are 190 and 247.

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Practice More Ratio and Proportion Questions

Question #1
Ratio of present ages of A and B is 4:5. After 5 years, the ratio becomes 5:8. Present age of A is?
A. 81 years
B. 152 years
C. 76 years
D. 68 years

Correct Answer: Option C


Explanation:
Let ages 4k and 5k. Then (4k + 5)/(5k + 5) = 5/8. Solving gives k ≈ 19, age of A = 4*19 = 76.

This question belongs to: Maths Ratio and Proportion
Question #2
If a:b = 6:4 and b:c = 4:5, then a:b:c = ?
A. 6:5:5
B. 12:8:10
C. 6:4:5
D. 5:4:6

Correct Answer: Option C


Explanation:
Combine ratios: a:b = 6:4, b:c = 4:5 ⇒ a:b:c = 6:4:5.

This question belongs to: Maths Ratio and Proportion
Question #3
If a:b = 5:8 and b:c = 8:7, then a:b:c = ?
A. 5:9:7
B. 10:16:14
C. 5:8:7
D. 4:8:8

Correct Answer: Option C


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

This question belongs to: Maths Ratio and Proportion