document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=630292>Question 630292</A>: <I><SPAN STYLE=\"word-break: break-all;\"> AB + BA= 1A4\r<BR>\n" );
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document.write( "in the correctly worked addition problem above, A and B represent two different digits. what digit does A represent?\r<BR>\n" );
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document.write( "*please include explanations </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #396814 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=396814\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The value of AB is 10A + B, while the value of BA is 10B + A.\r<BR>\n" );
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document.write( "In the equation, AB + BA = 1A4, substitute the values of AB and BA above:<BR>\n" );
document.write( "(10A + B) + (10B + A) = 100 + 10A + 4\r<BR>\n" );
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document.write( "Subtract 10A from each side:<BR>\n" );
document.write( "B+ 10B + A = 104<BR>\n" );
document.write( "11B + A = 104\r<BR>\n" );
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document.write( "Subtract A from each side:<BR>\n" );
document.write( "11B = 104 - A\r<BR>\n" );
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document.write( "Since B must be an integer, this means that you must subtract an integer value of A from 104 and obtain a multiple of 11.\r<BR>\n" );
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document.write( "If A = 1, you have 11B=103.  103 is not a multiple of 11.\r<BR>\n" );
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document.write( "If A = 2, you have 11B=102.  \r<BR>\n" );
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document.write( "If A = 3, you have 11B=101.\r<BR>\n" );
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document.write( "If A = 4, you have 11B=100.\r<BR>\n" );
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document.write( "If A = 5, you have 11B=99, so B = 9.  It works!!\r<BR>\n" );
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document.write( "Check:  AB= 59, BA= 95,  \r<BR>\n" );
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document.write( "AB + BA = 1A4<BR>\n" );
document.write( "59 + 95 = 154, so it checks!!\r<BR>\n" );
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document.write( "Congratulations on a NICE PROBLEM!!  I liked this one VERY MUCH!!\r<BR>\n" );
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document.write( "For additional help with this topic and other algebra topics, please see  my own FREE website at www.mathinlivingcolor.com.\r<BR>\n" );
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document.write( "Dr. Robert J. Rapalje, Retired<BR>\n" );
document.write( "Seminole State College of Florida </SPAN>\n" );
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