document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=719778>Question 719778</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A two-digit number is four times the sum of its digits. If its digits are reversed, the new number is 36 more than the original number.  What is the original number?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #441527 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39800)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=441527\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A two-digit number is four times the sum of its digits. \r<BR>\n" );
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document.write( "Let the number be 10x+y and x and y are whole numbers less than or equal to 9.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%2By=4%28x%2By%29 ALIGN=MIDDLE  ALT=\"10x%2By=4%28x%2By%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%2By=4x%2B4y ALIGN=MIDDLE  ALT=\"10x%2By=4x%2B4y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-3y=0 ALIGN=MIDDLE  ALT=\"6x-3y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-y=0 ALIGN=MIDDLE  ALT=\"2x-y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If its digits are reversed, the new number is 36 more than the original number. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y%2Bx=36%2B10x%2By ALIGN=MIDDLE  ALT=\"10y%2Bx=36%2B10x%2By\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y-y%2Bx-10x=36 ALIGN=MIDDLE  ALT=\"10y-y%2Bx-10x=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9x%2B9y=36 ALIGN=MIDDLE  ALT=\"-9x%2B9y=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=-4 ALIGN=MIDDLE  ALT=\"x-y=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "SYSTEM TO SOLVE:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282x-y=0%29 ALIGN=MIDDLE  ALT=\"highlight%282x-y=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x-y=-4%29 ALIGN=MIDDLE  ALT=\"highlight%28x-y=-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract second equation from the first equation.  x+0=4, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=4%29 ALIGN=MIDDLE  ALT=\"highlight%28x=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Looks like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=8%29 ALIGN=MIDDLE  ALT=\"highlight%28y=8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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