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Question

In England the population increased 15.9 per cent, between 1871 and 1881; if the town population increased 18 per cent, and the country population 4 per cent, compare the town and country populations is 1871.

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Solution

Let x be the town population, y be the country population then x+y wiil be the total population, then

Increase in town population=18x100

Increase in country population=4y100

Increase in total population15.9100(x+y)

Then,

18x100+4y100=15.9100(x+y)

18x+4y=15.9x+15.9y

2.1x=11.9y

xy=11.92.1=173

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