Solution:
As per the problem
A person is born every 5 seconds and a person dies every 12 seconds.
Here the LCD of 5 and 12 is 60.
The number of person born in 60 seconds[tex] =\frac{60}{5}=12\\ [/tex]
The Number of person died in 12 seconds[tex] =\frac{60}{12}=5 [/tex]
Hence Population increase in 60 seconds is[tex] =12-5=7\\ [/tex]
Hence time required to increase the population by one [tex] =\frac{60}{7} \ \ seconds\\ [/tex]