document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=807141>Question 807141</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of two positive consecutive integers is 24 more than nine times the larger integer. 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 #806043 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><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=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=806043\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> consecutive integers: x, (x+1)\r<BR>\n" );
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document.write( "x(x+1) = 24 + 9(x+1)<BR>\n" );
document.write( "x^2 + x = 9x + 33<BR>\n" );
document.write( "x^2 - 8x - 33 = 0<BR>\n" );
document.write( "(x - 11)(x + 3) = 0<BR>\n" );
document.write( "x = 11, x = -3\r<BR>\n" );
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document.write( "x has to be positive, so the integers are 11 and 12. </SPAN>\n" );
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