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If the ratio of the ages of A and B is 3:4 and the sum of their ages is 28, what

Practice Questions

Q1
If the ratio of the ages of A and B is 3:4 and the sum of their ages is 28, what is A's age? (2022)
  1. 12
  2. 14
  3. 16
  4. 18

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 28, what is A's age? (2022)
  • Step 1: Understand the ratio of ages. A's age is represented as 3x and B's age as 4x.
  • Step 2: Write the equation for the sum of their ages. Since the sum is 28, we write 3x + 4x = 28.
  • Step 3: Combine the terms on the left side of the equation. This gives us 7x = 28.
  • Step 4: Solve for x by dividing both sides of the equation by 7. This gives us x = 4.
  • Step 5: Find A's age by substituting x back into the expression for A's age. A's age = 3x = 3 * 4 = 12.
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