document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=306622>Question 306622</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference of two numbers is 12. Two fifths of the greater number is six more than one third of the lesser number. Find both numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #219409 by </B><A HREF=/tutors/aboutme.mpl?userid=sejackson91><B>sejackson91(8)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sejackson91><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=219409\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> first write out the words they give you as equations<BR>\n" );
document.write( "the difference of two numbers is 12 means that<BR>\n" );
document.write( "A - B = 12 if A and B are our two numbers<BR>\n" );
document.write( "then two fifths of the greater number is six more than one third of the lesser number<BR>\n" );
document.write( "the second part can be broken up to make it easier to understand<BR>\n" );
document.write( "say that A is the greater number<BR>\n" );
document.write( "two fifths is 2/5<BR>\n" );
document.write( "so two fifths of the greater number is (2/5)A remember that in these word problems of means you need to multiply<BR>\n" );
document.write( "next this (2/5)A is 6 more than something so say that (2/5)A - 6 = this something<BR>\n" );
document.write( "the something is one third of the lesser number so it is (1/3)B<BR>\n" );
document.write( "finally:<BR>\n" );
document.write( "(2/5)A - 6 = (1/3)B<BR>\n" );
document.write( "now we need to find the two numbers using the two equations we wrote:<BR>\n" );
document.write( "A - B = 12<BR>\n" );
document.write( "(2/5)A - 6 = (1/3)B<BR>\n" );
document.write( "looking at the first equation we see that A = 12+B<BR>\n" );
document.write( "we can substitute that into the second equation<BR>\n" );
document.write( "(2/5)(12+B) - 6 = (1/3)B<BR>\n" );
document.write( "(24/5) + (2/5)B - (30/5) = (1/3)B<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%2F5+=+%28%281%2F3%29-%282%2F5%29%29B ALIGN=MIDDLE  ALT=\"-6%2F5+=+%28%281%2F3%29-%282%2F5%29%29B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%2F5+=+%28%285%2F15%29-%286%2F15%29%29B ALIGN=MIDDLE  ALT=\"-6%2F5+=+%28%285%2F15%29-%286%2F15%29%29B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%2F5+=+%28-1%2F15%29B ALIGN=MIDDLE  ALT=\"-6%2F5+=+%28-1%2F15%29B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18+=+B ALIGN=MIDDLE  ALT=\"18+=+B\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );