document.write( "Question 1127974: How many children are there in a family where,in each girl has as many brothers as sisters,but each boy has twice as many sisters as brothers? \n" ); document.write( "

Algebra.Com's Answer #744459 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = the number of girls
\n" ); document.write( "Let $\"+b+\"$ = the number of boys
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\n" ); document.write( "(1) $\"+a+-+1+=+b+\"$
\n" ); document.write( "(2) $\"+2%2A%28+b+-+1+%29+=+a+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "Note that when I am counting a girls sisters,
\n" ); document.write( "I count them as $\"+a+-+1+\"$
\n" ); document.write( "When counting a boys brother's, I count them as
\n" ); document.write( " $\"+b+-+1+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) $\"+2%2A%28+a+-+1+-+1+%29+=+a+\"$
\n" ); document.write( "(2) $\"+2a+-+4+=+a+\"$
\n" ); document.write( "(2) $\"+a+=+4+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+-+1+=+b+\"$
\n" ); document.write( "(1) $\"+4+-+1+=+b+\"$
\n" ); document.write( "(1) $\"+b+=+3+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "There are 4 girls and 3 boys
\n" ); document.write( "--------------------------------
\n" ); document.write( "check:
\n" ); document.write( "Each girl has as many sisters as brothers TRUE
\n" ); document.write( "Each boy has twice as many sisters as brothers TRUE\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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