document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=94564>Question 94564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> five years ago, Julia was twice as old as Karla. five years from now , karla's age will be three-forths of julia's age. How old is each girl now?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #68897 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=68897\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=Julia's age now<BR>\n" );
document.write( "x-5=Julia's age five years ago<BR>\n" );
document.write( "x+5=Julia's age five years from now\r<BR>\n" );
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document.write( "And let y=Karla's age now<BR>\n" );
document.write( "y-5=Karla's age five years ago<BR>\n" );
document.write( "y+5=Karla's five years from now\r<BR>\n" );
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document.write( "Now we are told the following:\r<BR>\n" );
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document.write( "x-5=2(y-5)---------------------------eq1<BR>\n" );
document.write( "y+5=(3/4)(x+5)----------------------------eq2\r<BR>\n" );
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document.write( "simplify eq1:\r<BR>\n" );
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document.write( "x-5=2y-10  add 5 to both sides<BR>\n" );
document.write( "x=2y-5----------------------eq1\r<BR>\n" );
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document.write( "simplify eq2:<BR>\n" );
document.write( "4y+20=3x+15  subtract 20 from both sides<BR>\n" );
document.write( "4y=3x-5------------------------eq2\r<BR>\n" );
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document.write( "substitute x=2y-5 into eq2\r<BR>\n" );
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document.write( "4y=3(2y-5)-5  get rid of parens\r<BR>\n" );
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document.write( "4y=6y-15-5  subtract 6y from both sides<BR>\n" );
document.write( "-2y=-20  divide both sides by -2\r<BR>\n" );
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document.write( "y=10----------------------Karla's age now\r<BR>\n" );
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document.write( "x=2y-5<BR>\n" );
document.write( "x=2*10-5<BR>\n" );
document.write( "x=15--------------------------Julia's age now\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "Five years ago:\r<BR>\n" );
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document.write( "Karla was 5 and Julia was 10<BR>\n" );
document.write( "Julia was twice as old as Karla\r<BR>\n" );
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document.write( "Five years from now:\r<BR>\n" );
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document.write( "Karla will be 15 and Julia will be 20\r<BR>\n" );
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document.write( "15 is 3/4 of 20\r<BR>\n" );
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document.write( "Hope this helps----ptaylor<BR>\n" );
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