document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255252>Question 255252</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference of the cubes of two consecutive positive integers is 217. What is the sum of the two integers?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187541 by </B><A HREF=/tutors/aboutme.mpl?userid=palanisamy><B>palanisamy(496)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=palanisamy><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=187541\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the two consecutive integers be n and (n+1)<BR>\n" );
document.write( "Given, (n+1)^3-n^3 = 217<BR>\n" );
document.write( "       n^3+3n^2+3n+1-n^3-217 = 0<BR>\n" );
document.write( "       3n^2+3n-216 = 0<BR>\n" );
document.write( "       n^2+n-72 = 0<BR>\n" );
document.write( "      (n+9)(n-8) = 0<BR>\n" );
document.write( "                n = 8  or -9<BR>\n" );
document.write( "Taking n =8, we get the numbers are 8and 8+1 = 9<BR>\n" );
document.write( "Sum of the numbers = 8+9 = 17         </SPAN>\n" );
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