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

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 :

$x+x+2=138$

$=> 2x+2=138$

$=> 2x=138-2$

$=> 2x=136$

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.

Answer 2

Answer:

State A: 70

State B: 68

Step-by-step explanation: