document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=527848>Question 527848</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have tried many different ways, but i cannot figure out the answer, i have even asked friends and family to help out!\r<BR>\n" );
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document.write( "\"In the following addition problem, the letters A, B, and C stand for three different digits. What is the sum of the digits that A, B, and C represent?\"<BR>\n" );
document.write( "                                 ABC<BR>\n" );
document.write( "                               + ACB<BR>\n" );
document.write( "                               ______<BR>\n" );
document.write( "                                 CBA\r<BR>\n" );
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document.write( "I have tried certain combinations such as  123+132 = 255 , but the \"C\"'s,\"A\"'s, and \"B\"'s do not match up :(\r<BR>\n" );
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document.write( "P.S. Thank you in advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #349073 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=349073\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is just something that is done by trial and error.\r<BR>\n" );
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document.write( "One thing to point out is that B+C = C+B (since addition is commutative), but notice how C+B = A (in column 3) and B+C = B (in column 2). So this means that a carry is happening. It also implies that B = A+1 (since the largest carry possible is 1)\r<BR>\n" );
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document.write( "So because a carry is happening, we know that either B or C is at least 5. In addition, we know that A+A = C. So A must be less than 5 (since C is a single digit number).\r<BR>\n" );
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document.write( "These notes help reduce the selection field.\r<BR>\n" );
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document.write( "So use trial and error, and stay restricted to the notes above, to find that the answer is\r<BR>\n" );
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document.write( "A = 4\r<BR>\n" );
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document.write( "B = 5\r<BR>\n" );
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document.write( "C = 9\r<BR>\n" );
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document.write( "This then tells us that\r<BR>\n" );
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document.write( "459<BR>\n" );
document.write( "+ 495<BR>\n" );
document.write( "______<BR>\n" );
document.write( "954 \r<BR>\n" );
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document.write( "If you need more help, email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com\">jim_thompson5910@hotmail.com</a>\r<BR>\n" );
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document.write( "Jim </SPAN>\n" );
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