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    Question

    The number of boys and girls in a college is in the ratio

    of 6:5. If 12 boys were absent and 18 girls joined, their numbers would be equal. Determine the original number of girls enrolled in the college.
    A 171 Correct Answer Incorrect Answer
    B 132 Correct Answer Incorrect Answer
    C 100 Correct Answer Incorrect Answer
    D 150 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number of boys and girls be 6n and 5n, respectively.

    So, 6n - 12 = 5n + 18

    n = 30

    Therefore, number of girls = 5 × 30 = 150

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