Two numbers are in the ratio 4:10 and their sum is 595. Find the numbers. MCQ with Answer and Explanation

Two numbers are in the ratio 4:10 and their sum is 595. Find the numbers.
A. 336 and 840
B. 168 and 420
C. 184 and 396
D. 158 and 436
Answer: Option B
Solution (By JKExamLibrary)
Numbers = 4k and 10k. 4k + 10k = 595 ⇒ k = 42. Thus, numbers are 168 and 420.

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 ratio 7:4. Their difference is 73. What is their sum?
A. 734
B. 594
C. 297
D. 636

Correct Answer: Option B


Explanation:
Numbers 7k, 4k. Difference |7-4|k = 73 ⇒ k = 24. Sum = (7+4)k ≈ 594.

This question belongs to: Maths Ratio and Proportion
Question #2 Report Error
Two numbers are in the ratio 14:7 and their sum is 130. Find the numbers.
A. 84 and 42
B. 168 and 84
C. 110 and 31
D. 70 and 52

Correct Answer: Option A


Explanation:
Numbers = 14k and 7k. 14k + 7k = 130 ⇒ k = 6. Thus, numbers are 84 and 42.

This question belongs to: Maths Ratio and Proportion
Question #3 Report Error
Two numbers are in the ratio 4:5 and their sum is 398. Find the numbers.
A. 190 and 207
B. 157 and 225
C. 352 and 440
D. 176 and 220

Correct Answer: Option D


Explanation:
Numbers = 4k and 5k. 4k + 5k = 398 ⇒ k = 44. Thus, numbers are 176 and 220.

This question belongs to: Maths Ratio and Proportion