document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4513>Question 4513</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 133. Four times the smaller of the two numbers equal three times the greater number. Find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2120 by </B><A HREF=/tutors/aboutme.mpl?userid=glitzgirl_14><B>glitzgirl_14(11)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=glitzgirl_14><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=2120\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Variable S for the smaller and variable L for the greater number.<BR>\n" );
document.write( "S+L=133<BR>\n" );
document.write( "4S=3L<BR>\n" );
document.write( "Solve the first equation for either variable:<BR>\n" );
document.write( "S=-L+133<BR>\n" );
document.write( "substitute into the second equation:<BR>\n" );
document.write( "4(-L+133)=3L<BR>\n" );
document.write( "Distributive property:<BR>\n" );
document.write( "-4L+532=3L<BR>\n" );
document.write( "Add 4L to both sides:<BR>\n" );
document.write( "532=7L<BR>\n" );
document.write( "Divide both sides by 7:<BR>\n" );
document.write( "L=76<BR>\n" );
document.write( "S=-76+133<BR>\n" );
document.write( "S=57<BR>\n" );
document.write( "L=76  S=57 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );