A - B = 30, (1) A + B = 60. (2) Once you see two equations like (1) and (2), add them immediately. You will get 2A = 30 + 60 = 90 ---> A == 45. Thus you just found one unknown. Now from (2) B = 60 - A = 60 - 45 = 15. The problem is solved. A = 45, B = 15.