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Village X has a population of 68000, which is decreasing at the rate of 1200 per year, Village Y has a population of 42000, which is increasing at the rate of 800 per year. In how many years will the population of the two villages be equal?
  1. 12
  2. 13
  3. 14
  4. 15
Explanation

Village X population = 68000 – 1200p

Village Y population = 42000 + 800p

 

These two values should be equal.

So,

68000  – 1200p  =  42000 + 800p

1200p +  800p   =  68000 - 42000

               2000p  =   26000.

                        P =   26000 / 2000 = 13

                  The population of the two villages are equal after  = 13years

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