document.write( "Question 921686: The sum of the digits of a two-digit number is 6. The number with the digits in reverse order is 6 less than twice the original number. Find the original number. \n" ); document.write( "
Algebra.Com's Answer #805871 by CubeyThePenguin(3113)![]() ![]() You can put this solution on YOUR website! number: AB\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A + B = 6 \n" ); document.write( "10B + A = 2(10A + B) - 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute B = 6 - A into the second equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10(6 - A) + A = 2(10A + 6 - A) - 6 \n" ); document.write( "60 - 10A + A = 18A + 12 - 6 \n" ); document.write( "60 - 9A = 18A + 6 \n" ); document.write( "54 = 27A \n" ); document.write( "A = 2 ---> B = 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The original number is AB = 24. \n" ); document.write( " |