Multiple choice

The ratio between the ages of R and S is 3: 4. If R is younger than S by 6 years then what will be the ratio between their ages after 6 years?

  1. $2: 3$
  2. $9: 10$
  3. $3: 4$
  4. $4: 5$
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D Correct answer
Explanation

Let R's age = 3x and S's age = 4x. Since S is older by 6 years: 4x - 3x = 6, so x = 6. Current ages: R = 18, S = 24. After 6 years: R = 24, S = 30. Ratio = 24:30 = 4:5. The key is setting up the equation from the age difference first.

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