document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=988820>Question 988820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.The sum of the digits of a two-digit number is 8. The number with the digits interchanged is 16 less than thrice the original number. Find the number.<BR>\n" );
document.write( "2.the units digit of a two-digit number is one less than one-half the tens digit. The number with the digits interchanged is 5 more than thrice the sum of the digits. Help me thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #609322 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=609322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For this kind of problem, I would start with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the tens digit<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the ones digit<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%2By ALIGN=MIDDLE  ALT=\"10x%2By\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the value of the original number<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y%2Bx ALIGN=MIDDLE  ALT=\"10y%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the value of the number with the digits interchanged\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1. The sum of the digits of a two-digit number is 8 translates as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=8 ALIGN=MIDDLE  ALT=\"x%2By=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The number with the digits interchanged is 16 less than thrice the original number translates as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y%2Bx=3%2A%2810x%2By%29-16 ALIGN=MIDDLE  ALT=\"10y%2Bx=3%2A%2810x%2By%29-16\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Now you have two equations. You can simplify the second one a bit:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y%2Bx=3%2A%2810x%2By%29-16 ALIGN=MIDDLE  ALT=\"10y%2Bx=3%2A%2810x%2By%29-16\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y%2Bx=30x%2B3y-16 ALIGN=MIDDLE  ALT=\"10y%2Bx=30x%2B3y-16\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y%2Bx-30x-3y=-16 ALIGN=MIDDLE  ALT=\"10y%2Bx-30x-3y=-16\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7y-29x=-16 ALIGN=MIDDLE  ALT=\"7y-29x=-16\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29x-7y=16 ALIGN=MIDDLE  ALT=\"29x-7y=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By=8%2C29x-7y=16%29 ALIGN=MIDDLE  ALT=\"system%28x%2By=8%2C29x-7y=16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=8-x%2C29x-7y=16%29 ALIGN=MIDDLE  ALT=\"system%28y=8-x%2C29x-7y=16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=8-x%2C29x-7%288-x%29=16%29 ALIGN=MIDDLE  ALT=\"system%28y=8-x%2C29x-7%288-x%29=16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=8-x%2C29x-56%2B7x=16%29 ALIGN=MIDDLE  ALT=\"system%28y=8-x%2C29x-56%2B7x=16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=8-x%2C36x-56=16%29 ALIGN=MIDDLE  ALT=\"system%28y=8-x%2C36x-56=16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=8-x%2C36x=16%2B56%29 ALIGN=MIDDLE  ALT=\"system%28y=8-x%2C36x=16%2B56%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=8-x%2C36x=72%29 ALIGN=MIDDLE  ALT=\"system%28y=8-x%2C36x=72%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=8-x%2Cx=72%2F36%29 ALIGN=MIDDLE  ALT=\"system%28y=8-x%2Cx=72%2F36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=8-x%2Cx=2%29 ALIGN=MIDDLE  ALT=\"system%28y=8-x%2Cx=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=8-2%2Cx=2%29 ALIGN=MIDDLE  ALT=\"system%28y=8-2%2Cx=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28system%28y=6%2Cx=2%29%29 ALIGN=MIDDLE  ALT=\"highlight%28system%28y=6%2Cx=2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2. The units digit of a two-digit number is one less than one-half the tens digit translates as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F2%29x-1 ALIGN=MIDDLE  ALT=\"y=%281%2F2%29x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=2%28%281%2F2%29x-1%29 ALIGN=MIDDLE  ALT=\"2y=2%28%281%2F2%29x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=x-2 ALIGN=MIDDLE  ALT=\"2y=x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%2B2=x ALIGN=MIDDLE  ALT=\"2y%2B2=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The number with the digits interchanged is 5 more than thrice the sum of the digits translates as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y%2Bx=3%28x%2By%29%2B5 ALIGN=MIDDLE  ALT=\"10y%2Bx=3%28x%2By%29%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y%2Bx=3x%2B3y%2B5 ALIGN=MIDDLE  ALT=\"10y%2Bx=3x%2B3y%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y%2Bx-3x-3y=5 ALIGN=MIDDLE  ALT=\"10y%2Bx-3x-3y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7y-2x=5 ALIGN=MIDDLE  ALT=\"7y-2x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=2y%2B2%2C7y-2x=5%29 ALIGN=MIDDLE  ALT=\"system%28x=2y%2B2%2C7y-2x=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=2y%2B2%2C7y-2%282y%2B2%29=5%29 ALIGN=MIDDLE  ALT=\"system%28x=2y%2B2%2C7y-2%282y%2B2%29=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=2y%2B2%2C7y-4y-4=5%29 ALIGN=MIDDLE  ALT=\"system%28x=2y%2B2%2C7y-4y-4=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=2y%2B2%2C3y-4=5%29 ALIGN=MIDDLE  ALT=\"system%28x=2y%2B2%2C3y-4=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=2y%2B2%2C3y=5%2B4%29 ALIGN=MIDDLE  ALT=\"system%28x=2y%2B2%2C3y=5%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=2y%2B2%2C3y=9%29 ALIGN=MIDDLE  ALT=\"system%28x=2y%2B2%2C3y=9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=2y%2B2%2Cy=9%2F3%29 ALIGN=MIDDLE  ALT=\"system%28x=2y%2B2%2Cy=9%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=system%28x=2y%2B2%2Cy=3%29 ALIGN=MIDDLE  ALT=\"system%28x=2y%2B2%2Cy=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=2%2A3%2B2%2Cy=3%29 ALIGN=MIDDLE  ALT=\"system%28x=2%2A3%2B2%2Cy=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28system%28x=8%2Cy=3%29%29 ALIGN=MIDDLE  ALT=\"highlight%28system%28x=8%2Cy=3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );