document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37226>Question 37226</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two consectutive positive integers is 11 less than their product.<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 #22913 by </B><A HREF=/tutors/aboutme.mpl?userid=Paul><B>Paul(988)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Paul><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=22913\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the two consecutive integers be x and x+1<BR>\n" );
document.write( "(x)+(x+1)=(x)(x+1)-11<BR>\n" );
document.write( "2x=x^2+x-12<BR>\n" );
document.write( "x^2-x-12=0<BR>\n" );
document.write( "Solve that and you get:<BR>\n" );
document.write( "x=4<BR>\n" );
document.write( "4+1=5<BR>\n" );
document.write( "Hence, the two numbers are 4 and 5.<BR>\n" );
document.write( "Paul. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );