document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=758234>Question 758234</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this?<BR>\n" );
document.write( "   My Question,\r<BR>\n" );
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document.write( "Find all two digit numbers n such that N+2 is also a two digit  number and the digit sum of N+2 is less than the digit sum of N\r<BR>\n" );
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document.write( "My working out?\r<BR>\n" );
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document.write( "N+2= 2 digit number which has to be bigger than the sum of N+2  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #461320 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=461320\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It looks like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+97+ ALIGN=MIDDLE  ALT=\"+n+=+97+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is as high as you can go<BR>\n" );
document.write( "because if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+98+ ALIGN=MIDDLE  ALT=\"+n+=+98+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+%2B+2+=+100+ ALIGN=MIDDLE  ALT=\"+n+%2B+2+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "which is 3 digits<BR>\n" );
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document.write( "I could also state a rule that for any pair of 2-digit numbers,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2B+2+ ALIGN=MIDDLE  ALT=\"+n%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, if the 10s digit does not change when<BR>\n" );
document.write( "you go from one to the other, then the sum of the digits<BR>\n" );
document.write( "of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+%2B+2+ ALIGN=MIDDLE  ALT=\"+n+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > will always be greater than the sum of the<BR>\n" );
document.write( "digits of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "That means that if the digits of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( for tens )<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+u+ ALIGN=MIDDLE  ALT=\"+u+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( for units ), then only in the cases where<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+u+=+8+ ALIGN=MIDDLE  ALT=\"+u+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+u+=+9+ ALIGN=MIDDLE  ALT=\"+u+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > will he digit sums of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+%2B+2+ ALIGN=MIDDLE  ALT=\"+n+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "be less than the digit sums of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "So, the required number pairs are:<BR>\n" );
document.write( "18, 20<BR>\n" );
document.write( "19, 21<BR>\n" );
document.write( "28, 30<BR>\n" );
document.write( "29, 31<BR>\n" );
document.write( "38, 40<BR>\n" );
document.write( "39, 41<BR>\n" );
document.write( "48, 50<BR>\n" );
document.write( "49, 51<BR>\n" );
document.write( "58, 60<BR>\n" );
document.write( "59, 61<BR>\n" );
document.write( ". . . . . <BR>\n" );
document.write( "88, 90<BR>\n" );
document.write( "89, 91<BR>\n" );
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document.write( " </SPAN>\n" );
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