Question

Village x has a population of 68000 which is decreasing at the rate of 1200 per year. Village y has a population of 42000, which is increasing at the rate of 800 per year. In how many years will the population of two villages be equal

Answer 1

Answer:

13 years

Step-by-step explanation:

Let the number of years be x

Village x:

Initial population = 68000

Decrease in 1 year = 1200

Decrease in x year = 1200x

Village y:

Initial population = 42000

Increase in 1 year = 800

Increase in x year = 800x

Solve x:

When both villages have the same population

68000 - 1200x = 42000 + 800x

2000x = 26,000

x = 26000 ÷ 2000 = 13

Answer: The two villages will have equal number of population in 13 years.

Answer 2

Given:

Village x,

Population = 68000

Rate of decrease = 1200 per year

Village y,

Population = 42000

Rate of increase = 800 per year

To find:

The year when the population at both the villages are same.

Solution:

Framing an equation,

68000 - 1200 ( Years ) = 42000 + 800 ( Years )

Equating and solving for Years,

2000 ( Years ) = 26000

Years = 26000 / 2000

Years = 13