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In the year 2010, population of village A was 72,000 and village B was 64,000. The population of village A has been decreasing at the rate of 300 per year and population of village B has been increasing 200 per year. In which year, the populations of both the villages will be equal?

In the year 2010, population of village A was 72,000 and village B was 64,000. The population of village A has been decreasing at the rate of 300 per year and population of village B has been increasing 200 per year. In which year, the populations of both the villages will be equal? Correct Answer 2026

Calculation:

Let assume after x years populations of both the villages will be equal

Then,

72000 – (300x) = 64000 + (200x)

⇒ 8000 = 500x

⇒ x = 16

∴ 2010 + 16 = 2026

In 2026 the populations of both the villages will be equal

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