The Population of one town is 43,425. About 125 people move out of the town each month. Each month 200 people on average move into town. A nearby town has a population of 45000. It has no one moving in and an average of 150 people moving away every month. In about how many months will the population of the towns be equal ?

The correct answer is: ⇒ x = 7

○ Given:
Town 1:  Population 43,425
in 200 people and out 125 people.
Town 2:  Population 45,000
out 150 people.
○ Step 1:
○ Let the number of months after which population be equal be x months.
First consider case of Town 1:
As, number of people coming in is more than going out, so population will increase,
Hence, population of Town 1 at the end of month will be =
43,425 + 200 - 125
And after end of x months =
43,425 + (200 -125)x = 43,425 + 75x
Now, consider case of Town 2:
As, 150 people move out every month.
Hence, population of Town 2 at the end of month will be =
45,000 - 150
And after end of x months =
45,000  - 150x
○ Step 2:
○ Now equate the population of both town:
43,425 + 75x =  45,000  - 150x
75x + 150x = 45,000 - 43,425
225x = 1,575
x = 
x = 7

• Final Answer:

Hence, after 7 months population of both town will be equal.