document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=283042>Question 283042</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of two positive consecutive integers is 41 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 #205473 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=205473\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The product of two positive consecutive integers is 41 more than their sum. Find the integers.\r<BR>\n" );
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document.write( "Let the first number be F\r<BR>\n" );
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document.write( "Then the second = F + 1\r<BR>\n" );
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document.write( "Their product = F(F + 1) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5E2+%2B+F ALIGN=MIDDLE  ALT=\"F%5E2+%2B+F\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and their sum is: F + F + 1 = 2F + 1\r<BR>\n" );
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document.write( "Since their product is 41 more than their sum, then we have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5E2+%2B+F+=+2F+%2B+1+%2B+41 ALIGN=MIDDLE  ALT=\"F%5E2+%2B+F+=+2F+%2B+1+%2B+41\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5E2+-+F+-+42+=+0 ALIGN=MIDDLE  ALT=\"F%5E2+-+F+-+42+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(F + 6)(F - 7) = 0\r<BR>\n" );
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document.write( "Ignore F + 6 = 0, because F = - 6, and we're looking for a positive number. Therefore, F, or the 1st number is 7, and so, the numbers are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%287_and_8%29 ALIGN=MIDDLE  ALT=\"highlight_green%287_and_8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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