document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=56997>Question 56997</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 24.  Seven times the smaller number is the same as 5 times the larger number.  Find the smaller number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38727 by </B><A HREF=/tutors/aboutme.mpl?userid=rchill><B>rchill(405)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rchill><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=38727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x represent the smaller number, then 7 times the smaller number is 7x.  Because x added to the larger number is 24, let 24-x represent the larger number.  \"5 times the larger number\" is now represented as 5(24-x), and now our final equation is 7x=5(24-x).  That expands to 7x=120-5x.  Adding 5x to both sides yields 12x=120, and dividing both sides by 12 gives us <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=10 ALIGN=MIDDLE  ALT=\"x=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  So that means the larger number must be 14 (24-10=14). </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );