document.write( "Question 315130: a two digit number is such that the product of its digit it equal to 20.if 9 is added to the number the digits interchange their places.find the number
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #225432 by malaydassharma(59)![]() ![]() You can put this solution on YOUR website! let x= once digit and y is tenth digit. \n" ); document.write( "Then , number is 10y+x \n" ); document.write( "So, if the digits interchange their places, then the number is 10x+y\r \n" ); document.write( "\n" ); document.write( "now, \n" ); document.write( "xy=20 ....(i)\r \n" ); document.write( "\n" ); document.write( "10y+x+9=10x+y \n" ); document.write( "or 9x-9y=9 \n" ); document.write( "or x-y=1 ..(ii)\r \n" ); document.write( "\n" ); document.write( "From (i) and (ii) , we get\r \n" ); document.write( "\n" ); document.write( "x(x-1)=20=4X5 \n" ); document.write( "x=4 or 5 , but as x-y=1 , then x=5 and y=4\r \n" ); document.write( "\n" ); document.write( "The number is 45. \n" ); document.write( " |