document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034425>Question 1034425</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the reciprocals of two consecutive positive numbers is 17/12. 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 #649064 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=649064\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the reciprocals of two consecutive positive numbers is 17/12. Find the numbers. <BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Integers:: x ; x+1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Reciprocals:: 1/x ; 1/(x+1)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "1/x + 1/(x+1) = 17/12<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "12(x+1) + 12x = 17x(x+1)<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "24x + 12 = 17x^2 + 17x<BR>\n" );
document.write( "17x^2 - 7x - 12 = 0<BR>\n" );
document.write( "------<BR>\n" );
document.write( "x =1.07... (That is not an integer; please check your post)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );