document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=260639>Question 260639</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the product of two consecutive integers is 71 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 #192001 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=192001\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the product of two consecutive integers is 71 more than their sum.Find the integers.\r<BR>\n" );
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document.write( "Let the number be x.<BR>\n" );
document.write( "the consequtive number will x+1\r<BR>\n" );
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document.write( "the product of the two numbers = x*(x+1)<BR>\n" );
document.write( "x*(x+1) =  x +   x+1 +71 -------------  1 (71 more than the sum of the two numbers)<BR>\n" );
document.write( "x^2+x = 2x+72<BR>\n" );
document.write( "x^2+x-2x-72=0<BR>\n" );
document.write( "x^2-x-72=0<BR>\n" );
document.write( "x^2-9x+8x-72=0<BR>\n" );
document.write( "x(x-9) + 8(x-9) = 0<BR>\n" );
document.write( "(x-9)(x+8)=0\r<BR>\n" );
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document.write( "so x= 9 or -8 \r<BR>\n" );
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document.write( "The value of -8 satisfies the condition in equation 1\r<BR>\n" );
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document.write( "So the numbers are -8 and -7\r<BR>\n" );
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document.write( "M Ananth------------ mananth@hotmail.com\r<BR>\n" );
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document.write( " </SPAN>\n" );
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