document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174778>Question 174778</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please assist me in the following: A number is ten times the sum of its digits. The tens digit is two greater than the units digit. Find the number.\r<BR>\n" );
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document.write( "so far I only managed to write:\r<BR>\n" );
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document.write( "10n=n+m<BR>\n" );
document.write( "m=2+10n\r<BR>\n" );
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document.write( "10n=n+(2+10n)<BR>\n" );
document.write( "10n=n+2+10n<BR>\n" );
document.write( "10n=11n+2<BR>\n" );
document.write( "n=-2\r<BR>\n" );
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document.write( "10(-2)=(-2)+m<BR>\n" );
document.write( "-20=-2+m<BR>\n" );
document.write( "m=-18\r<BR>\n" );
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document.write( "10(-2)=(-2)+(-18)<BR>\n" );
document.write( "(-18)=2+10(-2)<BR>\n" );
document.write( "-20=-20<BR>\n" );
document.write( "-18=-18<BR>\n" );
document.write( "would this be the correct answer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129853 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=129853\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20 ALIGN=MIDDLE  ALT=\"20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) First of all, if a number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" > times anything,<BR>\n" );
document.write( "The units digit must be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) The problem says the tens digit is two greater<BR>\n" );
document.write( "that the units digit, so the tens digit must be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This satisfies the problem<BR>\n" );
document.write( "For any number greater than 20, either (1) or (2) is violated,<BR>\n" );
document.write( "or ten times the sum of the digits will always be less than<BR>\n" );
document.write( "the number itself </SPAN>\n" );
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