document.write( "Question 810712: what is one possible three-digit positive integer that satisfies all of the following conditions
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document.write( "each digit is a different factor of 40
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document.write( "the integer is odd
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document.write( "the sum of the digits is 11
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Algebra.Com's Answer #488365 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "The only digits which are factor of 40 are 1,2,4,5,8\r\n" ); document.write( "\r\n" ); document.write( "Since such a number must be odd, it can only end with 1 or 5\r\n" ); document.write( "\r\n" ); document.write( "If it ends with with 1, since the sum of digits must be 11,\r\n" ); document.write( "the first two digits must have sum 10. Only 2 and 8 have\r\n" ); document.write( "sum 10. So we have two possibilities:\r\n" ); document.write( "\r\n" ); document.write( "281 and 821.\r\n" ); document.write( "\r\n" ); document.write( "If it ends with with 5, since the sum of digits must be 11,\r\n" ); document.write( "the first two digits must have sum 6. Only 2 and 4 have\r\n" ); document.write( "sum 6. So we have two more possibilities:\r\n" ); document.write( "\r\n" ); document.write( "245 and 425\r\n" ); document.write( "\r\n" ); document.write( "Answers: 245, 281, 425, and 821\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |