document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=947824>Question 947824</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two-digit number, four times the sum of its two digits is 21 less than the reversed two-digit number.<BR>\n" );
document.write( "The difference of the original two-digit number and the number with reversed digits is </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578432 by </B><A HREF=/tutors/aboutme.mpl?userid=amarjeeth123><B>amarjeeth123(569)</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=578432\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the tens digit be x and the units digit be y.<BR>\n" );
document.write( "5(x+y)=10x+y-13<BR>\n" );
document.write( "5x=4y+13.......equation 1<BR>\n" );
document.write( "4(x+y)=10y+x-21<BR>\n" );
document.write( "3x=6y-21.......equation 2<BR>\n" );
document.write( "x=2y-7.........equation 2<BR>\n" );
document.write( "Substituting 2 in 1 we get,<BR>\n" );
document.write( "5(2y-7)=4y+13<BR>\n" );
document.write( "6y=48<BR>\n" );
document.write( "y=8<BR>\n" );
document.write( "x=16-7=9<BR>\n" );
document.write( "The difference of the original two-digit number and the number with reversed digits is 98-89 i.e.9 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );