document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146920>Question 146920</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two numbers whose difference is 10 and 1/6 of whose sum is 11. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107343 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=107343\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's call the numbers A and B. <BR>\n" );
document.write( "Difference is 10.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A-B=10 ALIGN=MIDDLE  ALT=\"A-B=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1/6 of the sum is 11.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29%28A%2BB%29=11 ALIGN=MIDDLE  ALT=\"%281%2F6%29%28A%2BB%29=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we have two equations.<BR>\n" );
document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A-B=10 ALIGN=MIDDLE  ALT=\"A-B=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29%28A%2BB%29=11 ALIGN=MIDDLE  ALT=\"%281%2F6%29%28A%2BB%29=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can make a slight change in eq. 2 that will help to solve. <BR>\n" );
document.write( "Multiply both sides by 6.<BR>\n" );
document.write( "2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB=66 ALIGN=MIDDLE  ALT=\"A%2BB=66\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, you can add the two equations together to get one equation in A.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2A-B%2BB=76 ALIGN=MIDDLE  ALT=\"2A-B%2BB=76\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2A=76 ALIGN=MIDDLE  ALT=\"2A=76\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=38 ALIGN=MIDDLE  ALT=\"A=38\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From 1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A-B=10 ALIGN=MIDDLE  ALT=\"A-B=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38-B=10 ALIGN=MIDDLE  ALT=\"38-B=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=28 ALIGN=MIDDLE  ALT=\"B=28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Make sure to always check your answers with your original equations.<BR>\n" );
document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A-B=10 ALIGN=MIDDLE  ALT=\"A-B=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38-28=10 ALIGN=MIDDLE  ALT=\"38-28=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10=10 ALIGN=MIDDLE  ALT=\"10=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "True<BR>\n" );
document.write( "2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB=11 ALIGN=MIDDLE  ALT=\"A%2BB=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38%2B28=66 ALIGN=MIDDLE  ALT=\"38%2B28=66\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=66=66 ALIGN=MIDDLE  ALT=\"66=66\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "True<BR>\n" );
document.write( "Your answers led to true statements.<BR>\n" );
document.write( "They are good answers. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );