document.write( "Question 501687: the sum of the digits of a two digit number is 12, if the digits are reversed, the new number is 18 more than the original number. what is the original number? \n" ); document.write( "
Algebra.Com's Answer #338613 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let x be in the tens place \n" ); document.write( "y in the units place \n" ); document.write( "the number will be (10x+y)\r \n" ); document.write( "\n" ); document.write( "x+y =12 .....(1) The sum of the digits\r \n" ); document.write( "\n" ); document.write( "10y+x=10x+y +18 \n" ); document.write( "9y-9x=18 \n" ); document.write( "/9 \n" ); document.write( "y-x=2... (2)\r \n" ); document.write( "\n" ); document.write( "add (1) and (2) \n" ); document.write( "2y=14 \n" ); document.write( "y=7 \n" ); document.write( "plug y in (1) \n" ); document.write( "x=5 \n" ); document.write( "the number is 57 \n" ); document.write( " \n" ); document.write( " |