document.write( "Question 860356: Please help me solve this question.A certain between 10 and 100 is 8 times the sum of its digits, and if 45 is subtracted from it the digit will be reversed.find the number \n" ); document.write( "
Algebra.Com's Answer #518347 by mananth(16946) You can put this solution on YOUR website! let the number be xy\r \n" ); document.write( "\n" ); document.write( "value of number = 10x+y\r \n" ); document.write( "\n" ); document.write( "10x+y = 8(x+y)\r \n" ); document.write( "\n" ); document.write( "10x+y =8x+8y \n" ); document.write( "2x-7y=0....................(1)\r \n" ); document.write( "\n" ); document.write( "10x+y-45 = 10y+x\r \n" ); document.write( "\n" ); document.write( "9x-9y=45\r \n" ); document.write( "\n" ); document.write( "x-y = 5.................(2)\r \n" ); document.write( "\n" ); document.write( "multiply by -2 \n" ); document.write( "-2x+2y=-10 \n" ); document.write( "add to (1)\r \n" ); document.write( "\n" ); document.write( "-5y=-10 \n" ); document.write( "y=2\r \n" ); document.write( "\n" ); document.write( "x-y =5\r \n" ); document.write( "\n" ); document.write( "x=7\r \n" ); document.write( "\n" ); document.write( "Number = 72 \n" ); document.write( " |