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      Question

      The ratio of the number of fiction to non-fiction books in

      a library is 4:7. If 16 more books of each type are added, the ratio becomes 8:13. Find the number of non-fiction books originally.
      A 184 Correct Answer Incorrect Answer
      B 140 Correct Answer Incorrect Answer
      C 175 Correct Answer Incorrect Answer
      D 168 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the original number of fiction and non-fiction books be ‘4x’ and ‘7x’, respectively.

      ATQ;

      (4x + 16) / (7x + 16) = (8/13)

      Or, 13 × (4x + 16) = 8 × (7x + 16)

      Or, 52x + 208 = 56x + 128

      Or, 4x = 80

      Or, x = 20

      So, the number of non-fiction books originally = 7 × 20 = 140

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