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 .