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 #129848 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=129848\">put this solution on YOUR website!</A><BR><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. <BR>\n" );
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document.write( "Usually these problems involve a two-digit number.  You have only two equation<BR>\n" );
document.write( "statements so I'm going to assume the number is 2-digit.<BR>\n" );
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document.write( "Let the number be 10t+u where t is the tens and u is the units digit.<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "10t+u = 10(t+u)<BR>\n" );
document.write( "t = u + 2<BR>\n" );
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document.write( "Rearrange:<BR>\n" );
document.write( "10t+u = 10t+10u<BR>\n" );
document.write( "9u = 0<BR>\n" );
document.write( "u = 0<BR>\n" );
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document.write( "Since t = u+2, t = 0+2 = 2<BR>\n" );
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document.write( "The number is 20<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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