document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=238452>Question 238452</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two positive numbers have a difference of 2. their reciprocals have a sum of 20/21. what are the numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #175230 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=175230\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A-B=2 ALIGN=MIDDLE  ALT=\"A-B=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2FA%2B1%2FB=20%2F21 ALIGN=MIDDLE  ALT=\"1%2FA%2B1%2FB=20%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From eq. 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=B%2B2 ALIGN=MIDDLE  ALT=\"A=B%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute into eq. 2,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28B%2B2%29%2B1%2FB=20%2F21 ALIGN=MIDDLE  ALT=\"1%2F%28B%2B2%29%2B1%2FB=20%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%28B%2B2%29 ALIGN=MIDDLE  ALT=\"B%28B%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%2B%28B%2B2%29=%2820%2F21%29B%28B%2B2%29 ALIGN=MIDDLE  ALT=\"B%2B%28B%2B2%29=%2820%2F21%29B%28B%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2B%2B2=%2820%2F21%29B%28B%2B2%29 ALIGN=MIDDLE  ALT=\"2B%2B2=%2820%2F21%29B%28B%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%29 ALIGN=MIDDLE  ALT=\"21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42B%2B42=20B%28B%2B2%29 ALIGN=MIDDLE  ALT=\"42B%2B42=20B%28B%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42B%2B42=20B%5E2%2B40B%29 ALIGN=MIDDLE  ALT=\"42B%2B42=20B%5E2%2B40B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20B%5E2-2B-42=0 ALIGN=MIDDLE  ALT=\"20B%5E2-2B-42=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10B%5E2-B-21=0 ALIGN=MIDDLE  ALT=\"10B%5E2-B-21=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285B%2B7%29%282B-3%29=0 ALIGN=MIDDLE  ALT=\"%285B%2B7%29%282B-3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two solutions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5B%2B7=0 ALIGN=MIDDLE  ALT=\"5B%2B7=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=-7%2F5 ALIGN=MIDDLE  ALT=\"B=-7%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2B-3=0 ALIGN=MIDDLE  ALT=\"2B-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=3%2F2 ALIGN=MIDDLE  ALT=\"B=3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since the solution only allows positive numbers, we'll only use B=3/2.<BR>\n" );
document.write( "Now solve for A.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=B%2B2 ALIGN=MIDDLE  ALT=\"A=B%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=3%2F2%2B4%2F2=7%2F2 ALIGN=MIDDLE  ALT=\"A=3%2F2%2B4%2F2=7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Check the solution.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2FA%2B1%2FB=20%2F21 ALIGN=MIDDLE  ALT=\"1%2FA%2B1%2FB=20%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F7%2B2%2F3=20%2F21 ALIGN=MIDDLE  ALT=\"2%2F7%2B2%2F3=20%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F21%2B14%2F21=20%2F21 ALIGN=MIDDLE  ALT=\"6%2F21%2B14%2F21=20%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F21=20%2F21 ALIGN=MIDDLE  ALT=\"20%2F21=20%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The solution checks out.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );