document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=756857>Question 756857</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me solve this question?\r<BR>\n" );
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document.write( "My working out?<BR>\n" );
document.write( "It believe it has to be 2 digit two digit number in which you have to add.\r<BR>\n" );
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document.write( "My Question,\r<BR>\n" );
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document.write( "Two-digit numbers N such that N+2 is also a two-digit number, the digit sum of N+2 is less the digit sum of N?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460455 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=460455\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N=10t%2Bu ALIGN=MIDDLE  ALT=\"N=10t%2Bu\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > = tens digit 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" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u ALIGN=MIDDLE  ALT=\"u\"   DISABLED_style= \"max-width:90%; height:auto;\" > = units digit 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" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%2Bu ALIGN=MIDDLE  ALT=\"T%2Bu\"   DISABLED_style= \"max-width:90%; height:auto;\" > = sum of 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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2B2=10t%2Bu%2B2 ALIGN=MIDDLE  ALT=\"N%2B2=10t%2Bu%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%2B2%3C10 ALIGN=MIDDLE  ALT=\"u%2B2%3C10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%2B2 ALIGN=MIDDLE  ALT=\"u%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the units digit of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2B2=10t%2Bu%2B2 ALIGN=MIDDLE  ALT=\"N%2B2=10t%2Bu%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the tens digit of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2B2 ALIGN=MIDDLE  ALT=\"N%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2Bu%2B2%3Et%2Bu ALIGN=MIDDLE  ALT=\"t%2Bu%2B2%3Et%2Bu\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the sum of digits of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2B2 ALIGN=MIDDLE  ALT=\"N%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N ALIGN=MIDDLE  ALT=\"N\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not a solution.<BR>\n" );
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document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%2B2%3E=10 ALIGN=MIDDLE  ALT=\"u%2B2%3E=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28u%3E=8%29 ALIGN=MIDDLE  ALT=\"highlight%28u%3E=8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then<BR>\n" );
document.write( "the units digit of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2B2=10t%2Bu%2B2=10%28t%2B1%29%2Bu%2B2-10 ALIGN=MIDDLE  ALT=\"N%2B2=10t%2Bu%2B2=10%28t%2B1%29%2Bu%2B2-10\"   DISABLED_style= \"max-width:90%; height:auto;\" > is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%2B2-10=u-8 ALIGN=MIDDLE  ALT=\"u%2B2-10=u-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2B1 ALIGN=MIDDLE  ALT=\"t%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the tens digit of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2B2 ALIGN=MIDDLE  ALT=\"N%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Then, the sum of digits of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2B2 ALIGN=MIDDLE  ALT=\"N%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N ALIGN=MIDDLE  ALT=\"N\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution.<BR>\n" );
document.write( "All numbers ending in 8 or 9 are solutions.<BR>\n" );
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document.write( "Examples of solutions for N: 18, 19, 28, 29, 38, 39, ...<BR>\n" );
document.write( "N=18, sum of digits of 18=9, N+2=20, sum of digits of N+2 = 2<BR>\n" );
document.write( "N=19, sum of digits of 19=10, N+2=21, sum of digits of N+2 = 3<BR>\n" );
document.write( "N=28, sum of digits of 28=10, N+2=30, sum of digits of N+2 = 3<BR>\n" );
document.write( "N=29, sum of digits of 29=11, N+2=31, sum of digits of N+2 = 4 </SPAN>\n" );
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