document.write( "Question 1058733: The sum of the digits of a 2-digit number is 15. The digits
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Algebra.Com's Answer #673837 by Edwin McCravy(20054) $\"\"$ $\"About$

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The sum of the digits of a 2-digit number is 15. The digits
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document.write( "The tens digit = t\r\n" );
document.write( "The units digit = u\r\n" );
document.write( "The number = 10t+u\r\n" );
document.write( "The number reversed = 10u+t\r\n" );
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document.write( "The sum of the digits of a 2-digit number is 15.  \r\n" );
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document.write( "t+u = 15\r\n" );
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document.write( "The digits are reversed when 27 is subtracted from given number.\r\n" );
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document.write( "10t+u - 27 = 10u+t\r\n" );
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document.write( "Which simplifies to\r\n" );
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document.write( "9t-9u = 27\r\n" );
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document.write( "or dividing through by 9\r\n" );
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document.write( "t-u = 3\r\n" );
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document.write( "Adding the two equations:\r\n" );
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document.write( "t+u = 15\r\n" );
document.write( "t-u =  3\r\n" );
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document.write( " 2t = 18\r\n" );
document.write( "  t =  9\r\n" );
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document.write( "Substituting in\r\n" );
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document.write( "t+u = 15\r\n" );
document.write( "9+u = 15\r\n" );
document.write( "  u =  6\r\n" );
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document.write( "The number is \"tens digit, units digit\" or 96.\r\n" );
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document.write( "Checking the sum of the digits is 9+6=15.\r\n" );
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document.write( "Subtracting 27 from 96 give 96-27 = 69.\r\n" );
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document.write( "That's 96 with the digits reversed.\r\n" );
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document.write( "So the answer is correct.\r\n" );
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document.write( "Edwin

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