document.write( "Question 341482: Two 2-digit numbers have the same digits. their sum is 77 and their difference is 27. what are the numbers? \n" ); document.write( "

Algebra.Com's Answer #244579 by edjones(8007) $\"\"$ $\"About$

You can put this solution on YOUR website!
Make the numbers xy and yx. Let the larger number be xy.
\n" ); document.write( "10x+y + 10y+x = 77
\n" ); document.write( "10x+y -(10y+x)= 27
\n" ); document.write( "10x+y -10y-x = 27
\n" ); document.write( ".
\n" ); document.write( "11x + 11y = 77
\n" ); document.write( "09x - 09y = 27
\n" ); document.write( ".
\n" ); document.write( "99x + 99y = 693
\n" ); document.write( "99x - 99y = 297
\n" ); document.write( "----------------add
\n" ); document.write( "198x=990
\n" ); document.write( ".
\n" ); document.write( "x=5
\n" ); document.write( ".
\n" ); document.write( "10x+y + 10y+x = 77
\n" ); document.write( "50+y + 10y+5 = 77
\n" ); document.write( "55+11y=77
\n" ); document.write( "11y=22
\n" ); document.write( "y=2
\n" ); document.write( ".
\n" ); document.write( "Ed \n" ); document.write( "

\n" );