document.write( "Question 550121: If A + B =1, B + C = 2, C + D = 3, ... X + Y = 25, Y + Z = 26, find A - Z \n" ); document.write( "
Algebra.Com's Answer #359628 by richard1234(7193)\"\" \"About 
You can put this solution on YOUR website!
Suppose we take the first equation, subtract the second equation, add the third, subtract the fourth, etc...in other words,\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(A+B) - (B+C) + (C+D) - ... -(Y+Z).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "This sum telescopes to A-Z, so we have A-Z = 1-2+3-4+...-26 = -13.
\n" ); document.write( "
\n" );