document.write( "Question 760996: The sum of the digits of a two digit number is 14. The difference between the tens digit and the units digit is 2. Find the number \n" ); document.write( "
Algebra.Com's Answer #462989 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The sum of the digits of a two digit number is 14. The difference between the tens digit and the units digit is 2. Find the number\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let the tens and units digits be T and U, respectively\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then: T + U = 14 ------ eq (i) \n" ); document.write( "Also, T - U = 2 ----- eq (ii) \n" ); document.write( "2T = 16 ----- Adding eqs (i) & (ii)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "T, or tens digit = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8 + U = 14 ----- Substituting 8 for T in eq (i)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "U = 14 - 8, or \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The number is therefore, \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "However, since no clue was given regarding the size of the tens compared to the units digit, the number can also be: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can do the check!! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Further help is available, online or in-person, for a fee, obviously. Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com \n" ); document.write( " |