document.write( "Question 667102: The sum of the digits of a two-digit number is 14. When the digits are reversed, the new number is 36 more than the original number. What is the original number? Check your answer. \n" ); document.write( "
Algebra.Com's Answer #414821 by mananth(16946) You can put this solution on YOUR website! let the digits be x & y, x in the ten's place.\r \n" ); document.write( "\n" ); document.write( "x+y=14.........................(1) \n" ); document.write( "1he number is 10x+y\r \n" ); document.write( "\n" ); document.write( "reverse number is 10y+x\r \n" ); document.write( "\n" ); document.write( "10y+x= 10x+y +36 \n" ); document.write( "9y-9x=36 \n" ); document.write( "/9 \n" ); document.write( "y-x=4..............................(2)\r \n" ); document.write( "\n" ); document.write( "add (1) & (2) \n" ); document.write( "2y=18\r \n" ); document.write( "\n" ); document.write( "/2 \n" ); document.write( "y=9 \n" ); document.write( "x+y =14 \n" ); document.write( "so x =14-9 = 5\r \n" ); document.write( "\n" ); document.write( "The number is 59\r \n" ); document.write( "\n" ); document.write( "59+36= 95 \n" ); document.write( " \n" ); document.write( " |