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. 174 and 258
B. 380 and 494
C. 190 and 247
D. 204 and 226
Answer: Option C
Solution (By JKExamLibrary)
Numbers = 10k and 13k. 10k + 13k = 454 ⇒ k = 19. Thus, numbers are 190 and 247.

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 = 7:8 and b:c = 8:7, then a:b:c = ?
A. 6:8:8
B. 7:9:7
C. 14:16:14
D. 7:8:7

Correct Answer: Option D


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

This question belongs to: Maths Ratio and Proportion
Question #2 Report Error
Ratio of present ages of A and B is 5:7. After 12 years, the ratio becomes 7:10. Present age of A is?
A. 170 years
B. 81 years
C. 85 years
D. 90 years

Correct Answer: Option C


Explanation:
Let ages 5k and 7k. Then (5k + 12)/(7k + 12) = 7/10. Solving gives k ≈ 17, age of A = 5*17 = 85.

This question belongs to: Maths Ratio and Proportion
Question #3 Report Error
Milk and water are in ratio 9:3 in a 408 L mixture. Quantity of milk?
A. 102 L
B. 612 L
C. 306 L
D. 349 L

Correct Answer: Option C


Explanation:
Total parts = 12. Milk = [9 / (9+3)] × 408 = 306 L.

This question belongs to: Maths Ratio and Proportion