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    Question

    In a factory, there are 180

    workers comprising both males and females. If 25 male workers are replaced with 25 female workers, the ratio of males to females in the factory becomes 5:6. Determine the initial number of male workers in the factory.
    A 107 Correct Answer Incorrect Answer
    B 110 Correct Answer Incorrect Answer
    C 95 Correct Answer Incorrect Answer
    D 120 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number of males in the factory initially be x. Number of females in the factory initially = 180 − x. After replacing 25 males with 25 females, the number of males = x − 25 and the number of females = 180 − x + 25. ATQ,

    Simplifying: 6(x−25) = 5(205−x) 6x − 150 = 1025 − 5x 11x = 1175 x = 107 Number of males in the factory initially = 107.

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