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If the ratio of the ages of A and B is 5:3 and the sum of their ages is 64 years

Practice Questions

Q1
If the ratio of the ages of A and B is 5:3 and the sum of their ages is 64 years, what is A's age?
  1. 40
  2. 32
  3. 30
  4. 28

Questions & Step-by-Step Solutions

If the ratio of the ages of A and B is 5:3 and the sum of their ages is 64 years, what is A's age?
  • Step 1: Understand the ratio of ages. A's age is represented as 5x and B's age as 3x.
  • Step 2: Write the equation for the sum of their ages. The equation is 5x + 3x = 64.
  • Step 3: Combine the terms on the left side of the equation. This gives us 8x = 64.
  • Step 4: Solve for x by dividing both sides of the equation by 8. This gives us x = 8.
  • Step 5: Find A's age by substituting x back into the expression for A's age. A's age is 5x, which is 5 * 8 = 40 years.
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