document.write( "Question 508955: it is between 50 000 and 52 000.
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document.write( "there is a 2 in the tens place.
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document.write( "the sum of the digits is 23
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Algebra.Com's Answer #341219 by Edwin McCravy(20065) You can put this solution on YOUR website! \r\n" ); document.write( "The first digit has to be 5, and the tens (fourth) \r\n" ); document.write( "digit has to be 2, so it's like this\r\n" ); document.write( "\r\n" ); document.write( "5 _ _ 2 _\r\n" ); document.write( "\r\n" ); document.write( "Since the sum of the digits is 23, the remaining 3 digits\r\n" ); document.write( "must have sum 23-7 or 16\r\n" ); document.write( "\r\n" ); document.write( "The second digit can only be 0 or 1\r\n" ); document.write( "\r\n" ); document.write( "If the second digit is 0, we have\r\n" ); document.write( "\r\n" ); document.write( "5 0 _ 2 _\r\n" ); document.write( "\r\n" ); document.write( "The 3rd and 5th digits must have sum 16 \r\n" ); document.write( "\r\n" ); document.write( "So the only possibilities are\r\n" ); document.write( "\r\n" ); document.write( "5 0 7 2 9\r\n" ); document.write( "5 0 8 2 8\r\n" ); document.write( "5 0 9 2 7\r\n" ); document.write( "\r\n" ); document.write( "If the second digit is 1, we have\r\n" ); document.write( "\r\n" ); document.write( "5 1 _ 2 _ \r\n" ); document.write( "\r\n" ); document.write( "the 3rd and 5th digits must have sum 15\r\n" ); document.write( "\r\n" ); document.write( "So the only possibilities are\r\n" ); document.write( "\r\n" ); document.write( "5 1 6 2 9\r\n" ); document.write( "5 1 7 2 8\r\n" ); document.write( "5 1 8 2 7\r\n" ); document.write( "5 1 9 2 6\r\n" ); document.write( "\r\n" ); document.write( "So there are 7 possible different solutions \r\n" ); document.write( "\r\n" ); document.write( "1. 50729\r\n" ); document.write( "2. 50828\r\n" ); document.write( "3. 50927\r\n" ); document.write( "4. 51629\r\n" ); document.write( "5. 51728\r\n" ); document.write( "6. 51827\r\n" ); document.write( "7. 51926\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |