document.write( "Question 1050643: The numbers 1, 3, 4, 6 and 8 are placed in boxes A, B, C, D, and E so that the resulting product of the 2- and 3-digit numbers below is between 23000 and 25000. What is the largest possible value of the 2-digit number AB?\r
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Algebra.Com's Answer #666219 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Since we are trying to make AB large as possible, \r\n" );
document.write( "we first see if A can be 8.  So let's see what\r\n" );
document.write( "happens when we assume A = 8.\r\n" );
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document.write( "   \"81+%3C=+AB+%3C=+86\"\r\n" );
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document.write( "But \r\n" );
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document.write( "\"23000+%3C=+AB%2ACDE+%3C=+25000\"\r\n" );
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document.write( "\"23000%2FCDE+%3C=+AB+%3C=+25000%2FCDE\"\r\n" );
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document.write( "Then \"23000%2FCDE%3E=81\" and \"25000%2FCDE%3C=86\"\r\n" );
document.write( "     \"23000%3E=81%2ACDE\" and \"25000%3C=86%2ACDE\"\r\n" );
document.write( "     \"%22283.9...%22%3E=CDE\" and \"%22290.6...%22%3C=CDE\"\r\n" );
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document.write( "That's not possible.  \r\n" );
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document.write( "So A cannot be 8.\r\n" );
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document.write( "So we try A=6\r\n" );
document.write( "    \r\n" );
document.write( "We see if it is possible to make AB as large as possible\r\n" );
document.write( "by making B=8\r\n" );
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document.write( "Then \"68%2ACDE+%3E=+23000\"\r\n" );
document.write( "     \"CDE+%3E=+%22338.2...%22\"\r\n" );
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document.write( "We can do that only by making CDE = 341\r\n" );
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document.write( "Answer:  \"68%2A341+=+23188\", so the largest possible \r\n" );
document.write( "         value for AB is 68.\r\n" );
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document.write( "Edwin
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