document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1007401>Question 1007401</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A positive integer is 17 more than 13 times another. Their product is 756.  Find the two integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #623325 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=623325\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x= 13y+17<BR>\n" );
document.write( "xy= 756 Substitute for x:<BR>\n" );
document.write( "(13y+17)y= 756<BR>\n" );
document.write( "13y^2+17y-756= 0 Factor the left:<BR>\n" );
document.write( "(y-7)(13y+108)= 0 Break into 2 equations:<BR>\n" );
document.write( "(y-7)= 0 or (13y+108)= 0<BR>\n" );
document.write( "y= 7 or 13y= -108; y= -108/13; y= -8.31 Discard the negative, we are looking for a positive number. Our answer is 7.<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Check: Seventeen more than 13 times:<BR>\n" );
document.write( "17+(7*13)= 17+91= 108 And their product is 756:<BR>\n" );
document.write( "108*7= 756 We have the correct answer </SPAN>\n" );
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