document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=272464>Question 272464</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There is only one positive integer that is exactly twice the sum of its digits.  <BR>\n" );
document.write( "What is this two digit number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199306 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=199306\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There is only one positive integer that is exactly twice the sum of its digits. <BR>\n" );
document.write( "What is this two digit number?\r<BR>\n" );
document.write( "\n" );
document.write( "Let x be the tens digit and y the ones digit of the number. The number then is<BR>\n" );
document.write( "10*x + 1*y\r<BR>\n" );
document.write( "\n" );
document.write( "We are given that\r<BR>\n" );
document.write( "\n" );
document.write( "10x + y = 2*(x+y)<BR>\n" );
document.write( "10x + y = 2x + 2y<BR>\n" );
document.write( "8x = y\r<BR>\n" );
document.write( "\n" );
document.write( "Since x and y are both single digit integers x must be 1 and y then is 8.\r<BR>\n" );
document.write( "\n" );
document.write( "The number is 18.   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );