document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=981507>Question 981507</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the digits of a two digit number is 10 .If 18 is subtracted from it the digits in the resulting number will be equal. Find the required number.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #602507 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=602507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The result of the two digits being equal means this is a multiple of 11;<BR>\n" );
document.write( "so use an extra variable, n, for either of these resulting digits.<BR>\n" );
document.write( "Your multiple of 11 is some 11*n, and n must be a digit.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Your unknown number, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10t%2Bu ALIGN=MIDDLE  ALT=\"10t%2Bu\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "t for your tens, u for your ones.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Your transcribed information will then be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28t%2Bu=10%2C10t%2Bu-8=11n%29 ALIGN=MIDDLE  ALT=\"system%28t%2Bu=10%2C10t%2Bu-8=11n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28t%2Bu=10%2C10t%2Bu-11n-8=0%29 ALIGN=MIDDLE  ALT=\"system%28t%2Bu=10%2C10t%2Bu-11n-8=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=10-t ALIGN=MIDDLE  ALT=\"u=10-t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "substitute.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10t%2B%2810-t%29-11n-8=0 ALIGN=MIDDLE  ALT=\"10t%2B%2810-t%29-11n-8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9t-11n%2B2=0 ALIGN=MIDDLE  ALT=\"9t-11n%2B2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9t=11n-2 ALIGN=MIDDLE  ALT=\"9t=11n-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=%2811n-2%29%2F9 ALIGN=MIDDLE  ALT=\"t=%2811n-2%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Pick to test values of whole number n from 1 to 9 to find which will give<BR>\n" );
document.write( "a whole number result for t.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "n__________________resulting t<BR>\n" );
document.write( "1___________________1<BR>\n" );
document.write( "2___________________x<BR>\n" );
document.write( "3___________________x<BR>\n" );
document.write( "4___________________x<BR>\n" );
document.write( "5___________________x<BR>\n" );
document.write( "6___________________x<BR>\n" );
document.write( "7___________________x<BR>\n" );
document.write( "8___________________x<BR>\n" );
document.write( "9___________________x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Only n=1 gives a whole value for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t=1%29 ALIGN=MIDDLE  ALT=\"highlight%28t=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "With that t, what is u?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=10-t ALIGN=MIDDLE  ALT=\"u=10-t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=10-1 ALIGN=MIDDLE  ALT=\"u=10-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28u=9%29 ALIGN=MIDDLE  ALT=\"highlight%28u=9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Your unknown number is then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2A1%2B9=10%2B9=highlight%28highlight%2819%29%29 ALIGN=MIDDLE  ALT=\"10%2A1%2B9=10%2B9=highlight%28highlight%2819%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );