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If the ratio of the ages of A and B is 3:4 and the sum of their ages is 56 years

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Question: If the ratio of the ages of A and B is 3:4 and the sum of their ages is 56 years, what is the age of A?

Options:

  1. 24 years
  2. 28 years
  3. 32 years
  4. 36 years

Correct Answer: 24 years

Solution: 

Let A\'s age be 3x and B\'s age be 4x. Then, 3x + 4x = 56. Solving gives x = 8, so A\'s age = 3x = 24 years.

If the ratio of the ages of A and B is 3:4 and the sum of their ages is 56 years

Practice Questions

Q1
If the ratio of the ages of A and B is 3:4 and the sum of their ages is 56 years, what is the age of A?
  1. 24 years
  2. 28 years
  3. 32 years
  4. 36 years

Questions & Step-by-Step Solutions

If the ratio of the ages of A and B is 3:4 and the sum of their ages is 56 years, what is the age of A?
  • Ratio and Proportion – Understanding how to express relationships between quantities using ratios and how to solve for unknowns using algebra.
  • Algebraic Equations – Setting up and solving linear equations based on given conditions.
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