Question

The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 114. If state A has more counties than state​ B, how many counties does each state​ have?

Answer 1

Explanation:

Let 2x represent countries in B

2x+2 represent countries in A

Solving for x

2x+2+2x=114

4×+2=114

4×=114-2

4×=112; x=28

Recall that B=2×=56

A=2x+2=58