document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209434>Question 1209434</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A, B and C are distinct digits and 4 * AB = CA. Find the sum A+B+C </SPAN>\n" );
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document.write( "A, B, and C are distinct digits and 4* AB = CA.<br><BR>\n" );
document.write( "The given multiplication puts two restrictions on the choice for digit A:<BR>\n" );
document.write( "(1) 4 * AB gives a result with units digit A.  4 times any integer yields an even product, so A must be even.<BR>\n" );
document.write( "(2) 4 * AB gives a result that is a 2-digit integer. That means A must be no greater than 2.<br><BR>\n" );
document.write( "Those two conditions together mean A must be 2.<br><BR>\n" );
document.write( "Now 4 * AB yields a product with units digit 2, so be can only be either 3 or 8.<br><BR>\n" );
document.write( "But 4 * 28 yields a product of 3 digits, so B must be 3.<br><BR>\n" );
document.write( "So we have that the indicated multiplication must be 4 * 23 = 92.<br><BR>\n" );
document.write( "So A = 2, B = 3, and C = 9.<br><BR>\n" );
document.write( "ANSWER: A+B+C = 2+3+9 = 14<br><BR>\n" );
document.write( " </SPAN>\n" );
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