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)![]() ![]() 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( " |