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.