document.write( "Question 779528: It is a four-digit whole number. It is greater than 4000. The sum of its hundreds digit and its ones digit is 9. Twice its tens digit is 2 more than its thousands digit. The sum of its hundreds digit and two- thirds of its ones digit is 6. Its tens digit is 1 less than its thousands digit. The product of its hundreds digit and its ones digit is 0. It is not an even number. It is less than 5000. Its tens digit is 3. \n" ); document.write( "
Algebra.Com's Answer #475268 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
It is a four-digit whole number.
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document.write( "We will fill in these 4 blanks with digits:\r\n" );
document.write( "_ _ _ _\r\n" );
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\n" ); document.write( "It is greater than 4000.\r
\n" ); document.write( "\n" ); document.write( "It is less than 5000.
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document.write( "Therefore its thousands digit is 4 \r\n" );
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document.write( "4 _ _ _\r\n" );
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\n" ); document.write( "Its tens digit is 3.
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document.write( "So we have\r\n" );
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document.write( "4 _ 3 _\r\n" );
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\n" ); document.write( "The product of its hundreds digit and its ones digit is 0.
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document.write( "Therefore it is either 4 0 3 _ or 4 _ 3 0\r\n" );
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\n" ); document.write( "It is not an even number.
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document.write( "That rules out 4 _ 3 0 for that is even regardless of the hundreds digit\r\n" );
document.write( "So we have\r\n" );
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document.write( "4 0 3 _ \r\n" );
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\n" ); document.write( "The sum of its hundreds digit and its ones digit is 9.
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document.write( "Therefore its ones digit is 9.\r\n" );
document.write( "And the number is\r\n" );
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document.write( "4 0 3 9\r\n" );
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document.write( "We did not need this:\r\n" );
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\n" ); document.write( "Twice its tens digit is 2 more than its thousands digit.
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document.write( "But that is true because twice 3 is 6 which is 2 more than 4\r\n" );
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document.write( "We also did not need this:\r\n" );
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\n" ); document.write( "The sum of its hundreds digit and two- thirds of its ones digit is 6.
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document.write( "But that is true because 2/3 of 9 is 6.\r\n" );
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document.write( "We also did not need this: \r\n" );
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\n" ); document.write( "Its tens digit is 1 less than its thousands digit.
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document.write( "But that is true because 3 is 1 less than 4\r\n" );
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document.write( "So we were given more information than we needed.\r\n" );
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document.write( "Edwin
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