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    In a class, ratio of number of boys to that of girls is 2 : 3. When three boys leave the class and 3 new girls join the class, the ratio becomes 3 : 7
    Question

    In a class, ratio of number of boys to that of girls is 2 : 3. When three boys leave the class and 3 new girls join the class, the ratio becomes 3 : 7. How many girls were there in the class initially ?

    A.

    6

    B.

    10

    C.

    12

    D.

    18

    Correct option is D

    Let the number of boys in the class = 2x
    Let the number of girls in the class = 3x
    When three boys leave the class and three new girls the class the new ratio will be

    14x – 21 = 9x + 9
    5x = 30
    x = 6
    Girls in the class initially = 6 = 18

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