Question

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 1

State A: 70

State B: 68

Explanation:

Answer 2

The number of counties in state A are 70.

The number of counties in state B are 68.

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 :

`x+x+2=138`

`=> 2x+2=138`

`=> 2x=138-2`

`=> 2x=136`

Now, we get x = 68

And
`x+2=68+2` = 70

Hence, 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.