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      Question

      The ratio of the present ages of Ram and Shyam is 3 : 4,

      and 4 years ago the ratio was 2 : 3. What will be the ratio of the ages of Ram and Shyam 4 years from now?
      A 1 : 5 Correct Answer Incorrect Answer
      B 2 : 5 Correct Answer Incorrect Answer
      C 4 : 5 Correct Answer Incorrect Answer
      D 3 : 5 Correct Answer Incorrect Answer

      Solution

      Let: Present ages of Ram and Shyam = 3x and 4x 4 years ago: Ram = 3x − 4 Shyam = 4x − 4 Given: (3x − 4)/(4x − 4) = 2/3 Cross-multiply: 3(3x − 4) = 2(4x − 4) → 9x − 12 = 8x − 8 → x = 4 Present ages: Ram = 3x = 12 Shyam = 4x = 16 After 4 years: Ram = 12 + 4 = 16 Shyam = 16 + 4 = 20 Ratio = 16 : 20 = 4 : 5

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