document.write( "Question 1179665: In a two-digit number, the sum of the digits is 8. The difference between this number and the number with the digits reversed is 54. What is the number? \n" ); document.write( "
Algebra.Com's Answer #809217 by mananth(16946)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "In a two-digit number, the sum of the digits is 8. The difference between this number and the number with the digits reversed is 54. What is the number?\r \n" ); document.write( "\n" ); document.write( "Let ten's digit be x \n" ); document.write( "and unit's digit be y\r \n" ); document.write( "\n" ); document.write( "the value of number is 10x+y\r \n" ); document.write( "\n" ); document.write( "x+y=8-----------------------(1)\r \n" ); document.write( "\n" ); document.write( "10x+y-(10y+x)= 54 \n" ); document.write( "9x-9y =54 \n" ); document.write( "/9 \n" ); document.write( "x-y = 6-----------------(2)\r \n" ); document.write( "\n" ); document.write( "add (1) and (2)\r \n" ); document.write( "\n" ); document.write( "2x = 14 \n" ); document.write( "x=7 \n" ); document.write( "y=1\r \n" ); document.write( "\n" ); document.write( "Number is 71 \n" ); document.write( " |