document.write( "Question 778258: Please Help me to answer this...\r
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document.write( "The tens digit of a 2-digit number is 3 more than the ones digit. the number is equal to 7 times the sum of the digits. find the number. \n" );
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Algebra.Com's Answer #474522 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Please Help me to answer this...\r \n" ); document.write( "\n" ); document.write( "The tens digit of a 2-digit number is 3 more than the ones digit. the number is equal to 7 times the sum of the digits. find the number.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let the tens and units digits be T and U, respectively \n" ); document.write( "Then: T = U + 3 ----- eq (i)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10T + U = 7(T + U) ------ 10T + U = 7T + 7U ------ 10T 7T + U 7U = 0 ---- 3T 6U = 0 ---- 3(T 2U) = 3(0) \n" ); document.write( "T 2U = 0 ------ eq (ii) \n" ); document.write( "U + 3 2U = 0 --------- Substituting U + 3 for T in eq (ii) \n" ); document.write( "U 2U = - 3 \n" ); document.write( "- U = - 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "U, or units digit = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "T 2(3) = 0 ---- Substituting 3 for U in eq (ii) \n" ); document.write( "T 6 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "T, or tens digit = 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Number 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( "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( " |