Question

A town's population is 14,280, and it is increasing by 160 people every year. A nearby town has a population of 24,000, and it is decreasing by 200 every year. In about how many years will the populations of the towns be equal. (please just write the number)

Answer 1

27 years

Explanation:

Given that :

Town A:

Initial population = 14280

Rate = increase by 160 per year

Let t = time in years

Population is thus :

14280 + 160t - - - (1)

Town B:

Initial population = 24000

Rate = decrease by 200 per year

P = 24000 - 200t - - - (2)

Equate both equations :

14280 + 160t = 24000 - 200t

160t + 200t = 24000 - 14280

360t = 9720

t = 9720 / 360

t = 27

In 27 years