document.write( "Question 544372: Here is the problem I am trying to solve:
\n" );
document.write( "The sum of the digits of a two-digit number is 6. If the digits are reversed, the new number is 9 less than four times the original number. Find the original number.
\n" );
document.write( "Thanks! \n" );
document.write( "
Algebra.Com's Answer #355061 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the number be xy. x in the tens place.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+y=6------------(1)\r \n" ); document.write( "\n" ); document.write( "10y+x=4(10x+y)-9 \n" ); document.write( "10y+x=40x+4y-9\r \n" ); document.write( "\n" ); document.write( "6y-39x=-9------------(2)\r \n" ); document.write( "\n" ); document.write( "Add equation (1) & (2)\r \n" ); document.write( "\n" ); document.write( "1.00 x + 1 y = 6 .............1 \n" ); document.write( "-39 x + 6 y = -9 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -6 \n" ); document.write( "Multiply (2) by 1 \n" ); document.write( "-6 x -6 y = -36 \n" ); document.write( "-39 x + 6 y = -9 \n" ); document.write( "Add the two equations \n" ); document.write( "-45 x = -45.000 \n" ); document.write( "/ -45 \n" ); document.write( "x = 1 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "x + y = 6 \n" ); document.write( " + y = 6 \n" ); document.write( " y = 6 -1 \n" ); document.write( " y = 5 \n" ); document.write( " y = 5 \r \n" ); document.write( "\n" ); document.write( "The number is 15\r \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |