document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=417928>Question 417928</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the reciprocals of two numbers is 5/6 and the difference is 1/6. Find 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 #292530 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=292530\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the reciprocals of two numbers is 5/6 and the difference is 1/6. Find the numbers<BR>\n" );
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document.write( "Let the numbers be \"x\" and \"y\"<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "1/x + 1/y = 5/6<BR>\n" );
document.write( "1/x - 1/y = 1/6<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Add to get:<BR>\n" );
document.write( "2/x = 1<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve for \"y\":<BR>\n" );
document.write( "1/x + 1/y = 5/6<BR>\n" );
document.write( "1/2 + 1/y = 5/6<BR>\n" );
document.write( "1/y = 5/6 - 3/6<BR>\n" );
document.write( "1/y = 2/6<BR>\n" );
document.write( "y = 3<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );