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    A boy in a family says "I have twice as many sisters as I have brothers" but one of his sisters claims that she has the same number of brothers and si
    Question

    A boy in a family says "I have twice as many sisters as I have brothers" but one of his sisters claims that she has the same number of brothers and sisters. The numbers of girls and boys in that family are, respectively

    A.

    4 and 2

    B.

    3 and 2

    C.

    3 and 4

    D.

    4 and 3

    Correct option is D

    Given:

    A boy says, "I have twice as many sisters as brothers"
    A girl says, "I have the same number of brothers and sisters"

    Solution:

    Let the number of boys = b
    Let the number of girls = g

    From the boy’s statement:
    Number of brothers = b − 1
    Number of sisters = g
    So, g = 2 × (b − 1)

    From the girl’s statement:
    Number of brothers = b
    Number of sisters = g − 1
    So, b = g − 1

    From the second equation:
    g = b + 1

    Substitute into the first equation:
    b + 1 = 2 × (b − 1)
    b + 1 = 2b − 2
    Solving:
    3 = b
    So, b = 3 and g = b + 1 = 4

    Final Answer: (d) 4 and 3

    (4 girls and 3 boys)

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