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?

2
by wabbitbat265

2015-05-10T21:21:03+08:00

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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 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 .

2015-05-11T09:42:47+08:00
3 brothers and sisters are there in this family.