document.write( "Question 558275: The sum of the digits of a two-digit number is 14. If 36 is subtracted from the number, the resulting number is the original number with its digits interchanged. Find the original number. \n" ); document.write( "
Algebra.Com's Answer #362997 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the numbers be x & y x in the tens place. \n" ); document.write( "x+y =14................(1)\r \n" ); document.write( "\n" ); document.write( "-- \n" ); document.write( "The number is 10x+y\r \n" ); document.write( "\n" ); document.write( "subtract 36\r \n" ); document.write( "\n" ); document.write( "10x+y-36\r \n" ); document.write( "\n" ); document.write( "new number = 10y+x\r \n" ); document.write( "\n" ); document.write( "10x+y-36=10y+x \n" ); document.write( "9x-9y=36 \n" ); document.write( "/9 \n" ); document.write( "x-y=4.................(2)\r \n" ); document.write( "\n" ); document.write( "add (1) & (2) \n" ); document.write( "2x=18 \n" ); document.write( "/2 \n" ); document.write( "x=9 \n" ); document.write( "if x= 9 y= 5 \n" ); document.write( "the number is 95\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |