Question

A town’s population increased by 1200 people, and then this new population decreased 11%. The town now had 32 less people than it did before the 1200 increase. Find the original population.

Answer 1

Let original population be x
when 1200 are increased :x+1200
 when decreased by 11 %
(x+1200) - (11%*(x+1200))
=(89x+106800)/100
It becomes 32 less than the original one.
((89x+106800)/100)+32=x
89x+106800+3200=100x
110000=11x
x=10000

Answer 2

Answer:

Original population: x

Increased by 1200: x+1200

Decreased by 11%: (x+1200)×0.89

(x+1200)×0.89=0.89x+1068

0.89x+1068 is 32 less than the original population x

x=0.89x+1068+32

x=0.89x+1100

0.11x=1100

x=10000