document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #344063 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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My daughter has many sisters. She has as many sisters as she has brothers.
\n" ); document.write( " Each of her brothers has twice as many sisters as brothers.
\n" ); document.write( " How many sons and daughters do I have?
\n" ); document.write( ":
\n" ); document.write( "Let d = no. of daughters
\n" ); document.write( "Let s = no. of sons
\n" ); document.write( ":
\n" ); document.write( "\"She has as many sisters as she has brothers\", therefore:
\n" ); document.write( "s = d - 1
\n" ); document.write( ":
\n" ); document.write( "\"Each of her brothers has twice as many sisters as brothers.\"
\n" ); document.write( "d = 2(s-1)
\n" ); document.write( "d = 2s - 2
\n" ); document.write( "replace s with (d-1)
\n" ); document.write( "d = 2(d-1) - 2
\n" ); document.write( "d = 2d - 2 - 2
\n" ); document.write( "d - 2d = -4
\n" ); document.write( "-d = -4
\n" ); document.write( "d = 4 daughters
\n" ); document.write( "then
\n" ); document.write( "4 - 1 = 3 sons \n" ); document.write( "

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