document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119269>Question 1119269</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A number consist of two digit who's sum of 9 if 9 is subtracted from the number the digit interchange there place find the number </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #734742 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=734742\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a number consists of 2 digits whose sum is 9.<BR>\n" );
document.write( "if 9 is subtracted from the number, the digits interchange.<BR>\n" );
document.write( "find the number.\r<BR>\n" );
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document.write( "let a = the first digits and let b equal the second digit.\r<BR>\n" );
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document.write( "the value of the number is 10a + b.\r<BR>\n" );
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document.write( "the sum of the digits is 9, therefore a + b = 9.\r<BR>\n" );
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document.write( "if you substract 9 from the number, then the digits interchange, therefore:\r<BR>\n" );
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document.write( "10a + b - 9 = 10b + a\r<BR>\n" );
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document.write( "subtract a from both sides of this equation and subtract b from both sides of this equation to get:\r<BR>\n" );
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document.write( "9a - 9 = 9b\r<BR>\n" );
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document.write( "since a + b = 9, solve for a to get a = 9 - b.\r<BR>\n" );
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document.write( "in the equation of 9a - 9 = 9b, replace a with 9 - b to get:\r<BR>\n" );
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document.write( "9 * (9 - b) - 9 = 9b\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "81 - 9b - 9 = 9b\r<BR>\n" );
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document.write( "add 9b to both sides of the equaiton and combine like terms to get:\r<BR>\n" );
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document.write( "72 = 18b.\r<BR>\n" );
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document.write( "solve for b to get b = 72/18 = 4.\r<BR>\n" );
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document.write( "since a + b = 9, then a must be 5.\r<BR>\n" );
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document.write( "you have a = 5 and b = 4.\r<BR>\n" );
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document.write( "the number is 54.\r<BR>\n" );
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document.write( "subtract 9 from it and the number becomes 45.\r<BR>\n" );
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document.write( "your solution is that the number is equal to 54.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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