City A's population is 68000, decreasing at a rate of 80 people per year. City B having population 42000 is increasing at a rate of 120 people per year. In how many years both the cities will have same population?

general knowledge math & puzzles

  1. 130 Years

  2. 260 Years

  3. 65 Years

  4. 195 Years

Show answer
Correct Option: A

AI Explanation

To find out how many years it will take for City A and City B to have the same population, we can set up an equation based on the given information.

Let's assume the number of years it takes for both cities to have the same population is represented by 'x'.

The population of City A after 'x' years can be represented as: Population of City A = 68000 - 80x

The population of City B after 'x' years can be represented as: Population of City B = 42000 + 120x

To find the value of 'x' when both populations are equal, we can set up the equation:

68000 - 80x = 42000 + 120x

Now, solve the equation for 'x':

68000 - 42000 = 120x + 80x

26000 = 200x

Divide both sides of the equation by 200:

26000/200 = x

130 = x

Therefore, it will take 130 years for both City A and City B to have the same population.

The correct answer is A) 130 Years.

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