document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=936188>Question 936188</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of the digits of the two-digit number is 12. the number with the digits interchanged is 20 more than 8 times the unit digit of the original number. find the original number and the number interchanged.<BR>\n" );
document.write( "please show me the solution. thank you.\r<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 #569629 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=569629\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let t = tens digit<BR>\n" );
document.write( "u = units digit<BR>\n" );
document.write( "10t + u = value of the number<BR>\n" );
document.write( "10u + t = value of the number with digits reversed <BR>\n" );
document.write( "we have two equations<BR>\n" );
document.write( "t + u = 12<BR>\n" );
document.write( "10u + t = 8u + 20<BR>\n" );
document.write( "t + 2u = 20<BR>\n" );
document.write( "subtract first equation form second equation<BR>\n" );
document.write( "u = 8<BR>\n" );
document.write( "t = 4<BR>\n" );
document.write( "original number is 48 and the number interchanged is 84<BR>\n" );
document.write( "84 = 64 +20 = 84<BR>\n" );
document.write( "our answer checks<BR>\n" );
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