SOLUTION: My daughter has many sisters. She has as many sisters as she has brothers. Each of her brothers has twice as many sisters as brothers. How many sons and daughters do I have?

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Question 592886: My daughter has many sisters. She has as many sisters as she has brothers. Each of her brothers has twice as many sisters as brothers. How many sons and daughters do I have?
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Say that there are a total of girls and boys in the family. Any given girl will have sisters, and we are given that this number is equal to the number of boys, which is to say . is the number of brothers any one of the boys has and two times this is the number of girls.



Substituting:



Solve for and then calculate to get .

John

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