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?

Question 515475: 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 ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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?
:
Let d = no. of daughters
Let s = no. of sons
:
"She has as many sisters as she has brothers", therefore:
s = d - 1
:
"Each of her brothers has twice as many sisters as brothers."
d = 2(s-1)
d = 2s - 2
replace s with (d-1)
d = 2(d-1) - 2
d = 2d - 2 - 2
d - 2d = -4
-d = -4
d = 4 daughters
then
4 - 1 = 3 sons
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