document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1007877>Question 1007877</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One positive integer is twenty-five less than five times another integer.  Their product is 70.  Find the integers.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #623880 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=623880\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call them x and y.  We have<BR>\n" );
document.write( "x = 5y - 25<BR>\n" );
document.write( "and<BR>\n" );
document.write( "xy = 70<BR>\n" );
document.write( "Substitute and get<BR>\n" );
document.write( "(5y - 25)y = 70<BR>\n" );
document.write( "5y^2 - 25y - 70 = 0<BR>\n" );
document.write( "y^2 - 5y - 14 = 0<BR>\n" );
document.write( "(y - 7)(y + 2) = 0<BR>\n" );
document.write( "y = 7 and y = -2<BR>\n" );
document.write( "Since you want positive,<BR>\n" );
document.write( "y = 7  so that<BR>\n" );
document.write( "x = 10 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );