document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085222>Question 1085222</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A number consists of two digits sum of its digit is 15.\r<BR>\n" );
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document.write( "if the place of digits are interchange, then the number obtained is 9 less than the original number.\r<BR>\n" );
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document.write( "find the original 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 #699294 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=699294\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> digit one: x<BR>\n" );
document.write( "digit two: y<BR>\n" );
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document.write( "x+y = 15 (1)<BR>\n" );
document.write( "if interchanged:<BR>\n" );
document.write( "10y+x = 10x+y-9<BR>\n" );
document.write( "10y+x-10x-y = -9<BR>\n" );
document.write( "9y-9x = -9 divide all sides by 9:<BR>\n" );
document.write( "y-x = -1 (2)<BR>\n" );
document.write( "Add (1) and (2):<BR>\n" );
document.write( "x+y = 15<BR>\n" );
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document.write( "-x+y = -1<BR>\n" );
document.write( "__________<BR>\n" );
document.write( "0+2y = 14<BR>\n" );
document.write( "y = 7<BR>\n" );
document.write( "the sum of the two digits = 15, so 15-7 = 8<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "sum of the digits: 8+7 = 15<BR>\n" );
document.write( "interchanged 9 less: 87-78 = 9 correct\r<BR>\n" );
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