document.write( "Question 182670: Please help, thank you very much. Also please try to guide me along with your answer, thank you!\r
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document.write( "The tens digit of a two-digit number is 6 more than the ones digit. The sum of the number, and the number formed by reversing the digits is 88. Find the number. \n" );
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Algebra.Com's Answer #137159 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The tens digit of a two-digit number is 6 more than the ones digit. The sum of the number, and the number formed by reversing the digits is 88. Find the number. \n" ); document.write( "------------------ \n" ); document.write( "Let the number be 10t+u. \"t\" is the tens digit; \"u\" is the units digit. \n" ); document.write( "---------------------- \n" ); document.write( "Equations: \n" ); document.write( "t = u + 6 \n" ); document.write( "10t+u + 10u+t = 88 \n" ); document.write( "------------------------ \n" ); document.write( "Rearrange: \n" ); document.write( "t = u + 6 \n" ); document.write( "11t + 11u = 88 \n" ); document.write( "--------------------- \n" ); document.write( "Simplify \n" ); document.write( "t - u = 6 \n" ); document.write( "t + u = 8 \n" ); document.write( "-------------- \n" ); document.write( "Add to solve for \"t\": \n" ); document.write( "2t = 14 \n" ); document.write( "t = 7 (the tens digit) \n" ); document.write( "-------------- \n" ); document.write( "Since t+u = 8, u = 1 \n" ); document.write( "-------------------------- \n" ); document.write( "The number is 8*10+1 = 81 \n" ); document.write( "=============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |