document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=854127>Question 854127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of two consecutive integers is 19 more than their sum. 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 #514467 by </B><A HREF=/tutors/aboutme.mpl?userid=aditya2117><B>aditya2117(32)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=aditya2117><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=aditya2117><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=514467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the smaller integer be x. <BR>\n" );
document.write( "accordingly, <BR>\n" );
document.write( "            x(x + 1) = 19 + [x + (x+1)]<BR>\n" );
document.write( "         => x^2 + x = 19 + 2x + 1<BR>\n" );
document.write( "         => x^2 - x - 20 = 0<BR>\n" );
document.write( "         => x^2 - 5x + 4x - 20 =0<BR>\n" );
document.write( "         => x(x-5)+4(x-5)=0<BR>\n" );
document.write( "         => (x-5)(x+4)=0<BR>\n" );
document.write( "therefore, x = 5 or -4<BR>\n" );
document.write( "The integers are : (5,6) & (-4,-3) [ANS.]     </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );