document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1068157>Question 1068157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of the numerator to the denominator of a certain fraction is ten to thirteen. If four is subtracted from both the numerator and denominator, then the reduced fraction is two-thirds. Find the numerator.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #683325 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=683325\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 10x/13x<BR>\n" );
document.write( "(10x-4)/(13x-4)=2/3<BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "3(10x-4)=2(13x-4)<BR>\n" );
document.write( "30x-12=26x-8<BR>\n" );
document.write( "4x=4<BR>\n" );
document.write( "x=1<BR>\n" );
document.write( "the fraction is 10/13<BR>\n" );
document.write( "subtract 4 from top and bottom and get 6/9, which is 2/3<BR>\n" );
document.write( "Numerator is 10 ANSWER<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );