document.write( "Question 337815: George is thinking of a number between 70 and 90. The sum of the digits is less than 12. The product of the digits is greater than 25. What is George's number? \n" ); document.write( "
Algebra.Com's Answer #242205 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Let the ten's digit be t and the units digit be u\r\n" );
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document.write( "\"system%28t%2Bu%3C12%2Ctu%3E25%29\"\r\n" );
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document.write( "Since the number is between 70 and 90, t = 7 or t = 8\r\n" );
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document.write( "If t = 7 then\r\n" );
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document.write( "\"system%287%2Bu%3C12%2C7u%3E25%29\"\r\n" );
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document.write( "or\r\n" );
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document.write( "\"system%28u%3C5%2Cu%3E3%264%2F7%29\"\r\n" );
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document.write( "or u=4, the only digit that's greater than \"3%264%2F7\" and less than 5.\r\n" );
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document.write( "So one solution is 74.\r\n" );
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document.write( "We will see if there is another solution:\r\n" );
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document.write( "If t = 8 then\r\n" );
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document.write( "\"system%288%2Bu%3C12%2C8u%3E25%29\"\r\n" );
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document.write( "or\r\n" );
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document.write( "\"system%28u%3C4%2Cu%3E3%261%2F8%29\"\r\n" );
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document.write( "There is no digit greater than \"3%261%2F8\" and less than 4.\r\n" );
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document.write( "So 74 is the only solution.\r\n" );
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document.write( "Checking: 7+4=11 which is less that 12.\r\n" );
document.write( "          7×4=28 which is greater than 25.\r\n" );
document.write( "Edwin
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