document.write( "Question 536367: a number of two digit is such that four time the unit digit is 5 greather than thrice the ten digit when the digit are reversed, the number is increased by 9. find the number. \n" ); document.write( "
Algebra.Com's Answer #352332 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Let xy be the number x in ten's place and y in units place\r \n" ); document.write( "\n" ); document.write( "4y=3x+5 \n" ); document.write( "4y-3x=5................(1)\r \n" ); document.write( "\n" ); document.write( "10y+x= 10x+y+9 \n" ); document.write( "9y-9x=9 \n" ); document.write( "/9 \n" ); document.write( "y-x=1...................(2)\r \n" ); document.write( "\n" ); document.write( "-3 x + 4 y = 5 .............1 \n" ); document.write( "-1 x + 1 y = 1 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -1 \n" ); document.write( "Multiply (2) by 4 \n" ); document.write( "3 x -4 y = -5 \n" ); document.write( "-4 x + 4 y = 4 \n" ); document.write( "Add the two equations \n" ); document.write( "-1 x = -1 \n" ); document.write( "/ -1 \n" ); document.write( "x = 1 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "-3 x + 4 y = 5 \n" ); document.write( "-3 + 4 y = 5 \n" ); document.write( " 4 y = 5 + 3 \n" ); document.write( " 4 y = 8 \n" ); document.write( " y = 2 \n" ); document.write( "The number is 12\r \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |