Question

The number of counties in state A and the number of counties in state b are consecutive integers whose sum is 142. If state A has more counties than B, how many counties does each state have?

Answer 1

It is given in the question that

The number of counties in state A and the number of counties in state b are consecutive integers whose sum is 142.

And It is given that state A have more counties than state B .

Let State B have n counties. And since counties in state A and B are consecutive integers, so state A have

`(n+1) counties`

And total counties are 142. That is

`n+n+1=142`

`2n+1=142`

`2n=141`

`n=70.5`

So state B have 70.5 counties and state A have 71.5 counties .