document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=44261>Question 44261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two numbers differ by 5. Their squares  differ by 55. What are the two numbers? \r<BR>\n" );
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document.write( "Please show me how you get the answer 3 and 8. Thanks!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29175 by </B><A HREF=/tutors/aboutme.mpl?userid=adamchapman><B>adamchapman(301)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=adamchapman><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=29175\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the two numbers be called \"x\" and \"y\".<BR>\n" );
document.write( "The numbers differ by 5:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=5 ALIGN=MIDDLE  ALT=\"x-y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........................(i)\r<BR>\n" );
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document.write( "Rearange equation (i) to give x in terms of y:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=y%2B5 ALIGN=MIDDLE  ALT=\"x=y%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........................(ii)\r<BR>\n" );
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document.write( "Their squares  differ by 55:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-y%5E2=55 ALIGN=MIDDLE  ALT=\"x%5E2-y%5E2=55\"   DISABLED_style= \"max-width:90%; height:auto;\" >....................(iii)<BR>\n" );
document.write( "Substitute equation (ii) into equation (iii) for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B5%29%5E2-y%5E2=55 ALIGN=MIDDLE  ALT=\"%28y%2B5%29%5E2-y%5E2=55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B5%29%28y%2B5%29-y%5E2=55 ALIGN=MIDDLE  ALT=\"%28y%2B5%29%28y%2B5%29-y%5E2=55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2B10y%2B25-y%5E2=55 ALIGN=MIDDLE  ALT=\"y%5E2%2B10y%2B25-y%5E2=55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y%2B25=55 ALIGN=MIDDLE  ALT=\"10y%2B25=55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y=30 ALIGN=MIDDLE  ALT=\"10y=30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3 ALIGN=MIDDLE  ALT=\"y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "substitute \"y=3\" into equation (ii) to give:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3%2B5 ALIGN=MIDDLE  ALT=\"x=3%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So x=8 and y=3\r<BR>\n" );
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document.write( "I hope this helps.<BR>\n" );
document.write( "P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would e-mail me some feedback on the help you received to adam.chapman@student.manchester.ac.uk<BR>\n" );
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