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## Explanation

- Village X has a population of 68000.

- Village Y has a population of 42000.

- The population of village X is decreasing at the rate of 1200 per year.

- The population of village Y is increasing at the rate of 800 per year.

Let suppose both have equal population in “w” years. So

68000 – 1200w = 42000 + 800w

Through this equation we can easily determine the required number of years when the population of two villages would be equal.

## To Find

Years = ?

## Solution

Population of village X (given) = 68000

Population of village Y (given) = 42000

Population of village X decreasing in 1 year = 1200

Population of village X decreasing in “w” years = 1200w

Population of village Y decreasing in 1 year = 800

Population of village Y decreasing in “w” years = 800w

Now, according to the condition

68000 – 1200w = 42000 + 800w

68000 – 42000 = 2000w

26000 = 2000w

w = 26000/2000

w = **13 years answer**

## Conclusion

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 13 years the population of two villages will be equal.