document.write( "Question 752451: Reversing the digits of Gyver's age gives Ed's age with a difference of 18 years. If the sum of the digits of each age is 6, how old is Gyver?\r
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document.write( "Thanks a bunch for answering this :) \n" );
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Algebra.Com's Answer #457765 by MathTherapy(10858) You can put this solution on YOUR website! \n" ); document.write( "Reversing the digits of Gyver's age gives Ed's age with a difference of 18 years. If the sum of the digits of each age is 6, how old is Gyver?\r \n" ); document.write( "\n" ); document.write( "Thanks a bunch for answering this :\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Based on info, Gyver is YOUNGER than Ed\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let the tens and units digits of Gyver’s age be T and U, respectively \n" ); document.write( "Then: 10T + U = 10U + T – 18 ------ 10T – T + U – 10U = - 18 ----- 9T – 9U = - 18 ---- 9(T – U) = 9(- 2) \n" ); document.write( "T – U = - 2 ------ eq (i) \n" ); document.write( "Also, T + U = 6 ----- eq (ii) \n" ); document.write( "2T = 4 ------ Adding eqs (i) & (ii) \n" ); document.write( "T, or tens digit of Gyver’s age = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2 – U = - 2 ------ Substituting 2 for T in eq (i) \n" ); document.write( "- U = - 2 – 2 \n" ); document.write( "- U = - 4 \n" ); document.write( "U, or units digit of Gyver’s age = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, Gyver is \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can do the check!!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com \n" ); document.write( " |