# In a certain family, a boy has as many sisters as he has brothers; however, each sister has only one-half as many sisters as brothers. How many brothers and sisters are there in this family?

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by wabbitbat265

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by wabbitbat265

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Since for a boy he has an equal number of brothers and sisters the number of boys is **x+1** while there are **x **girls

The number of sisters for a girl is equal to half the number of boys so the number of boys is**y** and the number of girls is **(y/2)+1.**

The LHS is the total number of children for the boy and the RHS is the total number of children for the girl.

We substitute the value of x to y

Since the number of boys is 4 the number of girls is .

The number of sisters for a girl is equal to half the number of boys so the number of boys is

The LHS is the total number of children for the boy and the RHS is the total number of children for the girl.

We substitute the value of x to y

Since the number of boys is 4 the number of girls is .