document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=826140>Question 826140</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My brother is one year older than twice my age. The product of our ages is 55. How old am I and how old is my brother? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #497895 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=497895\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let brother's age be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and your age <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if brother is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=one%7D%7B%7B+year+older+than+%7B%7B%7Btwice ALIGN=MIDDLE  ALT=\"one%7D%7B%7B+year+older+than+%7B%7B%7Btwice\"   DISABLED_style= \"max-width:90%; height:auto;\" > your age, then we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2y%2B1 ALIGN=MIDDLE  ALT=\"x=2y%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........eq.1\r<BR>\n" );
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document.write( "if the product of your ages is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=55 ALIGN=MIDDLE  ALT=\"55\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then we have \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Ay=55 ALIGN=MIDDLE  ALT=\"x%2Ay=55\"   DISABLED_style= \"max-width:90%; height:auto;\" >...............eq.2\r<BR>\n" );
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document.write( "now solve the system\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2y%2B1 ALIGN=MIDDLE  ALT=\"x=2y%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........eq.1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Ay=55 ALIGN=MIDDLE  ALT=\"x%2Ay=55\"   DISABLED_style= \"max-width:90%; height:auto;\" >...............eq.2<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Ay=55 ALIGN=MIDDLE  ALT=\"x%2Ay=55\"   DISABLED_style= \"max-width:90%; height:auto;\" >...............eq.2...substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > from eq.1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282y%2B1%29%2Ay=55 ALIGN=MIDDLE  ALT=\"%282y%2B1%29%2Ay=55\"   DISABLED_style= \"max-width:90%; height:auto;\" >...............solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%5E2%2By=55 ALIGN=MIDDLE  ALT=\"2y%5E2%2By=55\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%5E2%2By-55=0 ALIGN=MIDDLE  ALT=\"2y%5E2%2By-55=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........use quadratic formula\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-1+%2B-+sqrt%28+1%5E2-4%2A2%2A%28-55%29+%29%29%2F%282%2A2%29+ ALIGN=MIDDLE  ALT=\"y+=+%28-1+%2B-+sqrt%28+1%5E2-4%2A2%2A%28-55%29+%29%29%2F%282%2A2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-1+%2B-+sqrt%28+1%2B440+%29%29%2F4+ ALIGN=MIDDLE  ALT=\"y+=+%28-1+%2B-+sqrt%28+1%2B440+%29%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-1+%2B-+sqrt%28+441+%29%29%2F4+ ALIGN=MIDDLE  ALT=\"y+=+%28-1+%2B-+sqrt%28+441+%29%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-1+%2B-+21%29%2F4+ ALIGN=MIDDLE  ALT=\"y+=+%28-1+%2B-+21%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >..............we will need only positive solution because age cannot be negative number\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-1+%2B21%29%2F4+ ALIGN=MIDDLE  ALT=\"y+=+%28-1+%2B21%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+20%2F4+ ALIGN=MIDDLE  ALT=\"y+=+20%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+5+ ALIGN=MIDDLE  ALT=\"y+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >....................your age \r<BR>\n" );
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document.write( "brother's age will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2y%2B1 ALIGN=MIDDLE  ALT=\"x=2y%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2%2A5%2B1 ALIGN=MIDDLE  ALT=\"x=2%2A5%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=11 ALIGN=MIDDLE  ALT=\"x=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, your brother is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11 ALIGN=MIDDLE  ALT=\"11\"   DISABLED_style= \"max-width:90%; height:auto;\" > years old\r<BR>\n" );
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document.write( " </SPAN>\n" );
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