The number of counties in state a and the number of counties in state b are consecutive even integers whose sum is 9090. if state a has more counties than state b, how many counties does each state have?

Let x = state b , then x + 2 = state a

now: x + (x +2) = 9090 or 2x + 2 = 9090 Solving this equation:
2x + 2 = 9090 subtract 2 from both sides
2x = 9088 divide both sides by 2
x = 4544
that means x + 2 = 4546

so state a = 4546 and state b = 4544