Two numbers are in the ratio 14:12 and their sum is 772. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 14:12 and their sum is 772. Find the numbers.

A. 406 and 348

B. 812 and 696

C. 421 and 329

D. 389 and 367

Answer: Option A

Solution (By JKSSB Mock Tests)

Numbers = 14k and 12k. 14k + 12k = 772 ⇒ k = 29. Thus, numbers are 406 and 348.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

If a:b = 2:5 and b:c = 5:7, then a:b:c = ?

A. 2:5:7

B. 4:10:14

C. 2:6:7

D. 1:5:8

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Correct Answer: Option A

Explanation:
Combine ratios: a:b = 2:5, b:c = 5:7 ⇒ a:b:c = 2:5:7.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 3:7 and b:c = 7:9, then a:b:c = ?

A. 2:7:10

B. 3:7:9

C. 6:14:18

D. 3:8:9

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 3:7, b:c = 7:9 ⇒ a:b:c = 3:7:9.

This question belongs to: Maths Ratio and Proportion

Question #3

Ratio of present ages of A and B is 3:6. After 8 years, the ratio becomes 5:8. Present age of A is?

A. 69 years

B. 66 years

C. 74 years

D. 138 years

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Correct Answer: Option A

Explanation:
Let ages 3k and 6k. Then (3k + 8)/(6k + 8) = 5/8. Solving gives k ≈ 23, age of A = 3*23 = 69.

This question belongs to: Maths Ratio and Proportion

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