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    Question

    The student strength of two departments of a college are in

    the ratio 9:7. If the number of students in the first department was 27 less and in the second department 21 more, both would have equal students. Find the original number of students in the second department.
    A 125 Correct Answer Incorrect Answer
    B 173 Correct Answer Incorrect Answer
    C 147 Correct Answer Incorrect Answer
    D 168 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number of students in two departments be '9n' and '7n', respectively.

    So, 9n - 27 = 7n + 21

    Or, 'n' = 24

    Therefore, number of students in second department = 24 × 7 = 168

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