document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=600102>Question 600102</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive positive intergers such that the product of the first and second intergers is 26 less than the product of the second and third. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #379192 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=379192\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the integers be n, n+1 and n+2<BR>\n" );
document.write( "Given: product of the 1st and 2nd is 26 less than the product of the 2nd and 3rd<BR>\n" );
document.write( "In equation form this is<BR>\n" );
document.write( "n(n+1) = (n+1)(n+2) - 26<BR>\n" );
document.write( "Solve for n:<BR>\n" );
document.write( "n^2 + n = n^2 + 3n - 24<BR>\n" );
document.write( "2n = 24<BR>\n" );
document.write( "n = 12<BR>\n" );
document.write( "Ans: 12, 13, 14 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );