document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29765>Question 29765</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,  I need help tonight...tried this problem at least 6 times. help<BR>\n" );
document.write( "The difference of two numbers is 12.  Two fifths of the greater number is 6 more than one third of the lesser number.  Find both numbers.<BR>\n" );
document.write( "I know x-y=12 and 2/5x,1/3y-6, and don't know where to go from there.  Please Help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16451 by </B><A HREF=/tutors/aboutme.mpl?userid=Paul><B>Paul(988)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Paul><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=16451\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the first number be x<BR>\n" );
document.write( "Let the second number be y<BR>\n" );
document.write( "x-y=12<BR>\n" );
document.write( "y=-12+x (subsitution)\r<BR>\n" );
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document.write( "Greater number 2x/5<BR>\n" );
document.write( "Lesser number = 1y/3\r<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2F5=6%2B1y%2F3 ALIGN=MIDDLE  ALT=\"2x%2F5=6%2B1y%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply the whole equation by 15 to remove the fraction.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%282x%2F5%29=15%286%2F1%29%2B15%281y%2F3%29 ALIGN=MIDDLE  ALT=\"15%282x%2F5%29=15%286%2F1%29%2B15%281y%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%282x%29=15%286%29%2B5%28y%29 ALIGN=MIDDLE  ALT=\"3%282x%29=15%286%29%2B5%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x=90%2B5y ALIGN=MIDDLE  ALT=\"6x=90%2B5y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subsitute<BR>\n" );
document.write( "6x=90+5(-12+x)<BR>\n" );
document.write( "6x=90-60+5x<BR>\n" );
document.write( "x=30\r<BR>\n" );
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document.write( "y=-12+30<BR>\n" );
document.write( "y=18\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2830%29%29%2F5=6%2B18%2F3 ALIGN=MIDDLE  ALT=\"%282%2830%29%29%2F5=6%2B18%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "12=12\r<BR>\n" );
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document.write( "<font color = green>Hence, the two numbers are 30 and 18</font><BR>\n" );
document.write( "Paul. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );