document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114940>Question 1114940</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the reciprocals of two consecutive even integers is 5/12. <BR>\n" );
document.write( "Find the integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #729895 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=729895\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Knowing how to solve problems like this using formal algebra is of course valuable....<br><BR>\n" );
document.write( "But logical analysis and a tiny bit of mental arithmetic finds the answer much more quickly.<br><BR>\n" );
document.write( "The reciprocals of integers get very small very quickly.  If the sum of the reciprocals of two integers is 5/12, the integers have to be very small.<br><BR>\n" );
document.write( "Given that the two are consecutive even integers, the solution is found with little effort:<BR>\n" );
document.write( "2 and 4? <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2%2B1%2F4+=+3%2F4 ALIGN=MIDDLE  ALT=\"1%2F2%2B1%2F4+=+3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > no...<BR>\n" );
document.write( "4 and 6? <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4%2B1%2F6+=+3%2F12%2B2%2F12+=+5%2F12 ALIGN=MIDDLE  ALT=\"1%2F4%2B1%2F6+=+3%2F12%2B2%2F12+=+5%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > yes! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );