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    Question

    The ratio of number of men to women in a team is 3:2,

    respectively. If the number of men were 10 less and the number of women were 15 more, then their numbers would be equal. Find the original number of women in the team.
    A 20 Correct Answer Incorrect Answer
    B 40 Correct Answer Incorrect Answer
    C 48 Correct Answer Incorrect Answer
    D 50 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number of men and women be '3n' and '2n', respectively.

    So, 3n - 10 = 2n + 15

    Or, 'n' = 25

    Therefore, number of women = 25 × 2 = 50

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