document.write( "Question 441006: the sume of the digits in a two-digit number is 7. The new number obtained when the digits are reversed is 27 less than the original number. Find the original number. \n" ); document.write( "
Algebra.Com's Answer #304501 by stanbon(75887) ![]() You can put this solution on YOUR website! the sum of the digits in a two-digit number is 7. The new number obtained when the digits are reversed is 27 less than the original number. Find the original number. \n" ); document.write( "------ \n" ); document.write( "original number: 10t+u \n" ); document.write( "reversed number: 10u+t \n" ); document.write( "-------- \n" ); document.write( "Equation: \n" ); document.write( "t + u = 7 \n" ); document.write( "10t+u -(10u+t) = 27 \n" ); document.write( "------------------------------ \n" ); document.write( "Rearrange: \n" ); document.write( "t + u = 7 \n" ); document.write( "9t-9u = 27 \n" ); document.write( "------------------------------ \n" ); document.write( "Rearrange: \n" ); document.write( "t + u = 7 \n" ); document.write( "t - u = 3 \n" ); document.write( "------------------- \n" ); document.write( "Add and solve for \"t: \n" ); document.write( "2t = 10 \n" ); document.write( "t = 5 \n" ); document.write( "---- \n" ); document.write( "u = 2 \n" ); document.write( "------- \n" ); document.write( "Original number: \n" ); document.write( "10t+u = 52 \n" ); document.write( "========================Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |