Question

The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 90. If state A has more counties than state​ B, how many counties does each state​ have?
State A has (Blank)

Answer 1

Answer:

let the countries in state B= x

then countries in state A= x+2

ATQ....

x+(x+2)=90

2x+2=90

x=44

hope it works

plz mark it as brainliest answer

Answer 2

Answer

State A has 44 countries

State A has 44 countriesState B has 46 countries

Explaination

let the two consecutive numbers of countries in state A and state B be 2x and 2x + 2 respectively

(Since, 2x and 2x + 2 are the multiples of 2..So they are even numbers)

According to the question:

Sum of A and B = 90

2x + 2x + 2 = 90

=> 4x + 2 = 90

=> 4x = 88

=> x = 88/4

=> x = 22

So, The number of counties in state A =>

2x = 2 × 22 = 44

The number of counties in state B =>

2x + 2 = 2× 22 + 2 = 46