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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 โˆ’ x. After replacing 25 males with 25 females, the number of males = x โˆ’ 25 and the number of females = 180 โˆ’ x + 25. ATQ,

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

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