document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=471140>Question 471140</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Four times the sum of the digits of a two-digit number is equal to the number. If the digits are reversed, the resulting number is 27 greater than the original number. What is the number?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #323154 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=323154\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Four times the sum of the digits of a two-digit number is equal to the number. If the digits are reversed, the resulting number is 27 greater than the original number. What is the number?<BR>\n" );
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document.write( "A difference of 27 by reversing the digits means they differ by 3 (27/9) and the units digit is greater. (proof available)<BR>\n" );
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document.write( "t = tens digit<BR>\n" );
document.write( "u = units digit<BR>\n" );
document.write( "u = t+3<BR>\n" );
document.write( "10t + u = 4(t+u)<BR>\n" );
document.write( "Sub for u<BR>\n" );
document.write( "10t + t+3 = 4t + 4(t+3) = 8t + 12<BR>\n" );
document.write( "11t + 3 = 8t + 12<BR>\n" );
document.write( "t = 3<BR>\n" );
document.write( "u = 6<BR>\n" );
document.write( "--> 36 </SPAN>\n" );
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