document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=238495>Question 238495</A>: <I><SPAN STYLE=\"word-break: break-all;\"> gloria  is 4 times as  old as theotis. three years ago, she was 7 times as  old as he was. how old is each now? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #175268 by </B><A HREF=/tutors/aboutme.mpl?userid=Stitch><B>Stitch(470)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Stitch><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=175268\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let A = Gloria's age<BR>\n" );
document.write( "Let B = Theotis' age\r<BR>\n" );
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document.write( "Equation 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+4B ALIGN=MIDDLE  ALT=\"A+=+4B\"   DISABLED_style= \"max-width:90%; height:auto;\" > Because Gloria is 4 times older than Thesotis<BR>\n" );
document.write( "Equation 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+-+3+=+7%2A%28B+-+3%29 ALIGN=MIDDLE  ALT=\"A+-+3+=+7%2A%28B+-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > We are subtracting 3 from both sides because it was 3 years ago\r<BR>\n" );
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document.write( "In equation 1, we see that A = 4B, therefore we can substitute 4B into Equation 2 for A.<BR>\n" );
document.write( "Equation 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+-+3+=+7%2A%28B+-+3%29 ALIGN=MIDDLE  ALT=\"A+-+3+=+7%2A%28B+-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4B+-+3+=+7%2A%28B+-+3%29 ALIGN=MIDDLE  ALT=\"4B+-+3+=+7%2A%28B+-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4B+-+3+=+7B+-+21 ALIGN=MIDDLE  ALT=\"4B+-+3+=+7B+-+21\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 21 to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21+%2B+4B+-+3+=+7B ALIGN=MIDDLE  ALT=\"21+%2B+4B+-+3+=+7B\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 4B from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21+-+3+=+7B+-+4B ALIGN=MIDDLE  ALT=\"21+-+3+=+7B+-+4B\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18+=+3B ALIGN=MIDDLE  ALT=\"18+=+3B\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%286+=+B%29 ALIGN=MIDDLE  ALT=\"highlight%286+=+B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So Theotis is 6.<BR>\n" );
document.write( "To find Gloria' sage plug 6 into equation 1 for A<BR>\n" );
document.write( "Equation 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+4B ALIGN=MIDDLE  ALT=\"A+=+4B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+4%2A%286%29 ALIGN=MIDDLE  ALT=\"A+=+4%2A%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A+=+24%29 ALIGN=MIDDLE  ALT=\"highlight%28A+=+24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Gloria is 24\r<BR>\n" );
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document.write( "You can check your answers by using A=24 & B=6 in equation 2<BR>\n" );
document.write( "Equation 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+-+3+=+7%2A%28B+-+3%29 ALIGN=MIDDLE  ALT=\"A+-+3+=+7%2A%28B+-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24+-+3+=+7%2A%286+-+3%29 ALIGN=MIDDLE  ALT=\"24+-+3+=+7%2A%286+-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21+=+7%2A%283%29 ALIGN=MIDDLE  ALT=\"21+=+7%2A%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21+=+21 ALIGN=MIDDLE  ALT=\"21+=+21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );