Question

Population of patna city is 96,000, the decreasing rate of population is 800 per year. Population of patliputra is 68,000, the increasing rate of population is 1200 per year. In how many years will the population of both places be equal? Options: 1) 10 2) 14 3) 18 4) 22

Answer 1

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Answer 2

The population of both places will be equal in 14 years

Step-by-step explanation:

Let x be the years will the population of both places be equal

Initial Population of Patna city = 96000

The decreasing rate of population is 800 per year.

So, Decrease in population in x years = 800x

So, Population after x years in Patna = 96000-800x

Initial Population of Patliputra city = 68000

The  increasing rate of population is 1200 per year.

So, Increase in population in x years = 1200x

So, Population after x years in Patna =68000+1200x

ATQ

96000-800x=68000+1200x

96000-68000=1200x+800x

28000=2000x

14=x

Hence  the population of both places will be equal in 14 years

#Learn more:

Village x has population of 78000 which is decreasing at the rate of 1200 per year. village y has population of 52000 which is increasing at the rate of 800 per year. in how many years will the population of the villages be equal ?

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