document.write( "Question 1186991: The sum of the digits of a two-digit number is 13. The tens digit is seventeen
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Algebra.Com's Answer #817946 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "The sum of the digits of a two-digit number is 13. The tens digit is seventeen
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document.write( "Let x be the units digot.\r\n" );
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document.write( "Then the tens digit is 13-x, according to the condition.\r\n" );
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document.write( "Write an equation as you read the problem\r\n" );
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document.write( "    13-x = x^2 - 17.\r\n" );
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document.write( "Simplify and solve\r\n" );
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document.write( "    x^2 + x - 30 = 0\r\n" );
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document.write( "    (x-5)*(x+6) = 0\r\n" );
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document.write( "The only root, which fits as a solution to the problem is  x = 5.\r\n" );
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document.write( "The number is  85.     ANSWER\r\n" );
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