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      Question

      'A' and 'B' have books in the ratio of 6:5, respectively.

      If 'B' gives 3 books to 'A', then the new ratio of books with 'A' and 'B' becomes 9:7, respectively. Find the initial difference between books with 'A' and 'B'.
      A 12 Correct Answer Incorrect Answer
      B 16 Correct Answer Incorrect Answer
      C 18 Correct Answer Incorrect Answer
      D 20 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the initial number of books that 'A' and 'B' have be 6x and 5x , respectively.
      After giving 3 books to 'A', the number of books with 'A' and 'B' will be: (6x+3) and (5x-3)
      ATQ;
      {6x+3}/{5x – 3} = {9/7}
      Or, 7(6x + 3) = 9(5x – 3)
      Or, 42x+21=45x-27
      Or, 3x=48
      Or, x=16
      The initial difference between books with 'A' and 'B': 6x - 5x = x = 16

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