Time The Population Of Town A Will Equal The Population Of Town B
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Time The Population Of Town A Will Equal The Population Of Town B

The population of town A is 10,0000 and is increasing by 600 each year. The population of town B is 20,000 and is increasing by 400 each year. After how many years will the two towns have the same population?

The string:
S7P5A51 (Physical Change).
The math:
Pj Problem of Interest (PPI) is of type change. Problems of time (duration) and growth are generally of type change.
Let t yrs be the time it took for the population of town A to be equal to the population of town B. Then:
Population of town A after t yrs = 10,000 + 600t
Population of town B after t yrs = 20,000 + 400t.

So, 10,000 + 600t = 20,000 + 400t (since both populations are equal after t yrs)
So, 200t = 10,000
So t = 50 yrs.
So, the population of town A will be equal to the population of towne B after 50 yrs.

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