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Suppose the population 3 years ago was x.

Then a year later it would have been x*(1.06)

two years later it would have been x*(1.06)2

and three years later x*(1.06)3 which is 16224

So x = 16224/1.063 = 16224/1.191016 = 13621.98!

If it was 13621, it would have increased to 16222.83 now

and if it had been 13622 it would now be 16224.02.

Clearly a strange town with fractional people in it.

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Q: If the annual increase in the population of a locality of a town be 6 percent and the present population be 16224 what was it three years ago?
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