document.write( "Question 626002: Using the digits 8,3,2,9,0,4 and 6 find the sum of the greatest possible 7 digit odd number and the least possible 7 digit odd number
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Algebra.Com's Answer #393932 by Edwin McCravy(20060)\"\" \"About 
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document.write( "To make the largest number the largest possible digits must be as far\r\n" );
document.write( "to the left as is possible.\r\n" );
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document.write( "To make the smallest number the smallest possible digits must be as far\r\n" );
document.write( "to the left as is possible.\r\n" );
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document.write( "We make 7 blanks to fill in with digits:\r\n" );
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document.write( "_ _ _ _ _ _ _\r\n" );
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document.write( "To get the largest odd 7-digit number choose the largest possible of\r\n" );
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document.write( "8,3,2,9,0,4 and 6\r\n" );
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document.write( "which is 9.  So the number so far is\r\n" );
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document.write( "9 _ _ _ _ _ _\r\n" );
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document.write( "That leaves 8,3,2,0,4 and 6 \r\n" );
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document.write( "Since the digit must be odd, it must end in an odd digit,\r\n" );
document.write( "and the only odd digit left is 3. So the number so far is\r\n" );
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document.write( "9 _ _ _ _ _ 3\r\n" );
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document.write( "That leaves 8,2,0,4 and 6\r\n" );
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document.write( "Choose the largest for the 2nd digit, which is 8.\r\n" );
document.write( "So the number so far is\r\n" );
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document.write( "9 8 _ _ _ _ 3\r\n" );
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document.write( "That leaves 2,0,4 and 6\r\n" );
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document.write( "Choose the largest for the 3rd digit, which is 6.\r\n" );
document.write( "So the number so far is\r\n" );
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document.write( "9 8 6 _ _ _ 3\r\n" );
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document.write( "That leaves 2,0, and 4\r\n" );
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document.write( "Choose the largest for the 4th digit, which is 4.\r\n" );
document.write( "So the number so far is\r\n" );
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document.write( "9 8 6 4 _ _ 3\r\n" );
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document.write( "That leaves 2 and 0\r\n" );
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document.write( "Choose the larger for the 5th digit, which is 2.\r\n" );
document.write( "So the number so far is\r\n" );
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document.write( "9 8 6 4 2 _ 3\r\n" );
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document.write( "The only one left is 0, so it goes 6th, and the largest\r\n" );
document.write( "odd 7-digit number that can be made with those digits is\r\n" );
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document.write( "That leaves 2,0, and 4\r\n" );
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document.write( "Choose the largest for the 4th digit, which is 4.\r\n" );
document.write( "So the number so far is\r\n" );
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document.write( "9 8 6 4 2 0 3\r\n" );
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document.write( "_ _ _ _ _ _ _\r\n" );
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document.write( "To get the smallest odd 7-digit number we would like to choose\r\n" );
document.write( "the smallest possible digit of\r\n" );
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document.write( "8,3,2,9,0,4 and 6\r\n" );
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document.write( "which is 0.  However we cannot choose 0 for it must be a 7-digit\r\n" );
document.write( "number, and it cannot start with 0, so we must choose the next\r\n" );
document.write( "smallest,\r\n" );
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document.write( "which is 2.  So the number so far is\r\n" );
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document.write( "2 _ _ _ _ _ _\r\n" );
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document.write( "That leaves 8,3,9,0,4 and 6\r\n" );
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document.write( "Choose the smallest for the 2nd digit, which is 0.\r\n" );
document.write( "So the number so far is\r\n" );
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document.write( "2 0 _ _ _ _ _\r\n" );
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document.write( "That leaves 8,3,9,4 and 6\r\n" );
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document.write( "Choose the smallest for the 3rd digit, which is 3.\r\n" );
document.write( "So the number so far is\r\n" );
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document.write( "2 0 3 _ _ _ _\r\n" );
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document.write( "That leaves 8,9,4 and 6\r\n" );
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document.write( "Choose the smallest for the 4th digit, which is 4.\r\n" );
document.write( "So the number so far is\r\n" );
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document.write( "2 0 3 4 _ _ _\r\n" );
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document.write( "That leaves 8,9 and 6\r\n" );
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document.write( "Choose the smallest for the 5th digit, which is 6.\r\n" );
document.write( "So the number so far is\r\n" );
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document.write( "2 0 3 4 6 _ _\r\n" );
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document.write( "That leaves 8 and 9\r\n" );
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document.write( "Choose the smallest for the 5th digit, which is 8.\r\n" );
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document.write( "(We must save the 9 till last anyway to make the number odd)\r\n" );
document.write( "So the number so far is\r\n" );
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document.write( "2 0 3 4 6 8 _\r\n" );
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document.write( "The only one left is the 9, so it goes 6th, and the smallest\r\n" );
document.write( "odd 7-digit number that can be made with those digits is\r\n" );
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document.write( "2 0 3 4 6 8 9\r\n" );
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document.write( "Answer:  9864203 + 2034689  = 11898892\r\n" );
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document.write( "Edwin
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