The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 138 138. If state A has more counties than state​ B, how many counties does each state​ have? State A has nothing counties. State B has nothing counties. Enter your answer in each of the answer boxes.

Answer:The number of counties in state A are 70.The number of counties in state B are 68.Step-by-step explanation:The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 138.Let the two consecutive even integers be x and x+2.As their sum is 138, we can denote this mathematically as :[tex]x+x+2=138[/tex][tex]=> 2x+2=138[/tex][tex]=> 2x=138-2[/tex][tex]=> 2x=136[/tex]Now, we get x = 68And [tex]x+2=68+2[/tex] = 70Hence, the two numbers are 68 and 70.So, the number of counties in state A are 70.The number of counties in state B are 68.