document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=325646>Question 325646</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the digits of the two-digit number is 8. The number with the digits interchanged is 14 more than 8 times the units digit of the original number. 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 #233152 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=233152\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the digits of the two-digit number is 8. The number with the digits interchanged is 14 more than 8 times the units digit of the original number. Find the original number.\r<BR>\n" );
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document.write( "let ten's digit be x<BR>\n" );
document.write( "and units digit be y<BR>\n" );
document.write( "x+y=8..................1<BR>\n" );
document.write( "the number = 10x+y<BR>\n" );
document.write( "..<BR>\n" );
document.write( "10y+x = 14+8y<BR>\n" );
document.write( "10y-8y+x=14<BR>\n" );
document.write( "2y+x=14................2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "subtract equation 2 from equation1<BR>\n" );
document.write( "(x+y)-(2y+x)=8-14<BR>\n" );
document.write( "x+y-2y-x=-6<BR>\n" );
document.write( "-y=-6<BR>\n" );
document.write( "y=6<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Plug the value of y in equation 1<BR>\n" );
document.write( "x+6=8<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( "The number = 26 </SPAN>\n" );
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