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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