Question

The population of a town was 59000. In one year it was increased by 4536 due to new births. However, 9218 persons died or left the town during the year. What is the population at the end of the year?

Answer 1

Hint: First we will add the given population when increased due to new births and then subtract the obtained population when decreased due to the death of persons in the town during the year.

Complete step by step answer:

We are given that the population of the town is 59000 in the start of the year.

We know that the new births will add in the population and deaths decrease the population.

Adding the given population by 4536 due to new births during the year, we get
\[
   \Rightarrow 59000 + 4536 \\
   \Rightarrow 63536 \\
 \]

Subtracting the above population by 9218 when the persons died or left in the town in that year, we get
\[
   \Rightarrow 63536 - 9218 \\
   \Rightarrow 54318 \\
 \]

Hence, the population at the end of the year is 54318.

Note: In solving this question, students should note here that we may solve the question in a reverse way, as by first subtracting and then adding the number of new births to the number obtained on subtraction. It will also give the same answer. One needs to know that births lead to an increase in population and deaths decrease the population.