document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=946711>Question 946711</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the digits of a two digit number is 14.<BR>\n" );
document.write( "If the digits are reversed, the new number is 36 more than the original number.<BR>\n" );
document.write( "Find the original number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #577561 by </B><A HREF=/tutors/aboutme.mpl?userid=amarjeeth123><B>amarjeeth123(570)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amarjeeth123><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=577561\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the digits of the number be x and y respectively.<BR>\n" );
document.write( "Let the tens digit be x and the units digit be y.<BR>\n" );
document.write( "The number is (10x+y)<BR>\n" );
document.write( "x+y=14..........equation 1<BR>\n" );
document.write( "When the digits are reversed the new tens digit is y and the new units digit is x.<BR>\n" );
document.write( "When the digits are reversed the new number is (10y+x)<BR>\n" );
document.write( "10y+x=36+(10x+y)<BR>\n" );
document.write( "9y=36+9x<BR>\n" );
document.write( "y=4+x..........equation 2<BR>\n" );
document.write( "Substituting equation 2 in equation 1.<BR>\n" );
document.write( "x+4+x=14<BR>\n" );
document.write( "2x+4=14<BR>\n" );
document.write( "2x=10<BR>\n" );
document.write( "x=5<BR>\n" );
document.write( "y=9<BR>\n" );
document.write( "The original number is 59.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );