document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=284878>Question 284878</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There is a number that is two times the sum of it's digits. What is this number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #206642 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=206642\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=tens digit<BR>\n" );
document.write( "And let y=units digit<BR>\n" );
document.write( "Sum of the digits=x+y<BR>\n" );
document.write( "two times the sum=2(x+y)<BR>\n" );
document.write( "The number then is:10x+y, so;<BR>\n" );
document.write( "10x+y=2(x+y) simplify<BR>\n" );
document.write( "10x+y=2x+2y subtract 2x and also y from each side<BR>\n" );
document.write( "10x-2x+y-y=2x-2x+2y-y  collect like terms<BR>\n" );
document.write( "8x=y divide each side by x<BR>\n" );
document.write( "y/x=8<BR>\n" );
document.write( "If y=8 then x=1 ---the number is 18; sum of the digits is 9 and 2*9=18\r<BR>\n" );
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document.write( "Can't be a 3-digit or larger number.  Do you know why?\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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