document.write( "Question 1206161: A two digit number is such that it's product is 12 and when the digits are reversed the number exceeds the original number by 9, what is the original number? \n" ); document.write( "
Algebra.Com's Answer #843518 by MathTherapy(10552)\"\" \"About 
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document.write( "A two digit number is such that it's product is 12 and when the digits are reversed the number exceeds the original number by 9, what is the original number?\r\n" );
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document.write( "This should've read: \"A two digit number is such that the product of its digits is 12.\" As such, the\r\n" );
document.write( "numbers must be 2 and 6, or 3 and 4. \r\n" );
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document.write( "Let the tens and units digits be T and U, respectively\r\n" );
document.write( "\"when the digits are reversed the number exceeds the original number by 9.\"\r\n" );
document.write( "This gives us: 10U + T = 10T + U + 9\r\n" );
document.write( "         - 9 + 10U + T = 10T + U\r\n" );
document.write( "                   - 9 = 10T + U - 10U - T\r\n" );
document.write( "                   - 9 = 9T - 9U\r\n" );
document.write( "                9(- 1) = 9(T - U)\r\n" );
document.write( "                   - 1 = T - U____T = U - 1\r\n" );
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document.write( "With the tens digit being 1 less than the units digit, the 2 numbers CANNOT be 2 and 6, so\r\n" );
document.write( "they MUST be 3 and 4 (TENS digit, or 3, being SMALLER than the UNITS digit, or 4). \r\n" );
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document.write( "DIGITS: 3 and 4, for the NUMBER 34 \n" );
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