document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=335162>Question 335162</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm a two-digit base-ten numeral. I am equal to six times the sum of my digits. Who am I? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #240203 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=240203\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the 2 digits are a and b\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a is the tens digit and b is the units digit.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the value of the 2 digit number is given by the equation:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "number = 10*a + b\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the number is equal to 6 times the sum of the digits of the number.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this means that:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "number = 6 * (a + b) which means that:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "10a + b = 6 * (a + b)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Simplify this to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "10a + b = 6a + 6b\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "subtract 6a from both sides of this equation to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4a + b = 6b\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "subtract b from both sides of this equation to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4a = 5b\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "divide both sides of this equation by 4 to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a = (5/4) * b\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You can be any number where both a and b are integers.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "That appears to happen when b is a multiple of 4.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when b = 4, a = 5.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when b = 8, a = 10.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when b = 12, a = 15.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "etc.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Take any multiple of 4 for b, and you should be able to see that the equation comes true.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Assume b = 16\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This make a = 5*16/4 = 5*4 = 20\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You have a = 20 and b = 16\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "sum of the digits is a + b = 20 + 16 = 36\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "6 times 36 = 216.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "number should be equal to 216 if the formula is true.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "number is 10 * a + b = 10*20 + 16 = 200 + 16 = 216.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "looks good.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );