document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=784731>Question 784731</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find two consecutive natural numbers such that the difference of their reciprocals is 1/4 the reciprocal of the smallest number </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #806281 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><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=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=806281\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (duplicate question)\r<BR>\n" );
document.write( "\n" );
document.write( "consecutive natural numbers: x, (x+1)\r<BR>\n" );
document.write( "\n" );
document.write( "1/x - 1/(x+1) = 1/4x<BR>\n" );
document.write( "4(x+1) - 4x = x+1<BR>\n" );
document.write( "4x + 4 - 4x = x + 1<BR>\n" );
document.write( "4 = x + 1<BR>\n" );
document.write( "x = 3\r<BR>\n" );
document.write( "\n" );
document.write( "numbers: 3, 4 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );