document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=413610>Question 413610</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that the sum of two whole numbers is 9 and the sum of their reciprocals is 1/2. Find the numbers. I know the answer is 3 and 6. However, I dont know how to write the problem out. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #290216 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=290216\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"the sum of two whole numbers is 9\" means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=9 ALIGN=MIDDLE  ALT=\"x%2By=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Solve for y to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=9-x ALIGN=MIDDLE  ALT=\"y=9-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "\" the sum of their reciprocals is 1/2\" tells us that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx%2B1%2Fy=1%2F2 ALIGN=MIDDLE  ALT=\"1%2Fx%2B1%2Fy=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Multiply EVERY term by the LCD 2xy to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%2B2x=xy ALIGN=MIDDLE  ALT=\"2y%2B2x=xy\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=9-x ALIGN=MIDDLE  ALT=\"y=9-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%289-x%29%2B2x=x%289-x%29 ALIGN=MIDDLE  ALT=\"2%289-x%29%2B2x=x%289-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "At this point, you have an equation with 1 unknown. Simply expand everything out, simplify, and then use the quadratic formula to find x. I'll let you take it from here.\r<BR>\n" );
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document.write( "Jim </SPAN>\n" );
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