document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188491>Question 188491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this problem:\r<BR>\n" );
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document.write( "two consecutive positive integers have the property that one integer times twice the other equals 612. What is the sum of these two integers?\r<BR>\n" );
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document.write( "thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141309 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=141309\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> call the 1st integer n (i is too easily confused, imo)<BR>\n" );
document.write( "The 2nd integer is n+1.<BR>\n" );
document.write( "Twice this integer is 2n+2<BR>\n" );
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document.write( "n*(2n+2) = 612<BR>\n" );
document.write( "2n^2 + 2n = 612<BR>\n" );
document.write( "n^2 + n = 306<BR>\n" );
document.write( "n^2 + n - 306 = 0<BR>\n" );
document.write( "(n+18)*(n-17) = 0<BR>\n" );
document.write( "n = -18 (we're looking for positive integers, so ignore -18)<BR>\n" );
document.write( "n = 17 That one works.<BR>\n" );
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document.write( "The 2 integers are 17 & 18, so the sum is 35\r<BR>\n" );
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