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**:

S_{7}P_{5}A_{51} (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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The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

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