Problema Solution

the number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 94. if state S has more counties than state B, how many counties does each state have?

Answer provided by our tutors

let


2x + 2 = the number of counties in state A

2x = the number of counties in state B


sum of all the counties is 94


2x + 2 + 2x = 94


by solving we find


x = 23


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2x = 2*23 = 66


2x + 2 = 2*23 + 2 = 68


State A has 68 counties.

State B has 66 counties.