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    Question

    The ratio of boys to girls in a school is 5:7. If 20 more

    boys and 20 more girls join, the ratio becomes 10:13. Find the original number of girls in the school.
    A 84 Correct Answer Incorrect Answer
    B 95 Correct Answer Incorrect Answer
    C 75 Correct Answer Incorrect Answer
    D 68 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the original number of boys and girls be ‘5x’ and ‘7x’, respectively.

    ATQ;

    (5x + 20) / (7x + 20) = (10/13)

    Or, 13 × (5x + 20) = 10 × (7x + 20)

    Or, 65x + 260 = 70x + 200

    Or, 5x = 60

    Or, x = 12

    So, the original number of girls in the school = 7 × 12 = 84

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