document.write( "Question 404294: Find all two-digit numbers that give a sum of 154 when the original number and the number obtained by reversing its digits are added. \n" ); document.write( "
Algebra.Com's Answer #285744 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Find all two-digit numbers that give a sum of 154 when the original number and the number obtained by reversing its digits are added. \n" ); document.write( "----- \n" ); document.write( "Let the original number be 10t+u \n" ); document.write( "-- \n" ); document.write( "Reverse number is 10u+t \n" ); document.write( "----- \n" ); document.write( "Equation: \n" ); document.write( "10t+u + 10u+t = 154 \n" ); document.write( "11t + 11u = 154 \n" ); document.write( "t + u = 14 \n" ); document.write( "---- \n" ); document.write( "Both t and u must be single digit numbers \n" ); document.write( "Pairs that work are 5/9,6/8,7/7 \n" ); document.write( "--- \n" ); document.write( "Original numbers are 59 or 68 or 77 \n" ); document.write( "------------------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========== \n" ); document.write( " |