Let #s_A# be the salary of the governor of state A and #s_B# be the salary of the governor of state B. We know the following:
Since the governor of state A earns #54,220# more than the governor of state B, we can say that:
#s_A=s_B+54220#
Also, since we know that the total of their salaries is #305,550#, we can say that:
#s_A+s_B=305550#
Since we know #s_A=s_B+54220#, we can plug #s_B+54220# in for #s_A# in the second equation.
#(s_B+54220)+s_B=305550#
#2s_B+54220=305550#
#2s_B=251330#
#s_B=125665#
Then, we know #s_A=s_B+54220#. So #s_A=179885#
