A hypothetical species of grass snake is living in a field that has an area of five square meters. The current population size is 48 grass snakes. In one year, 10 new snakes are hatched. A total of two snakes dies in the same year.
If the carrying capacity for the population of grass snakes living in the field is 72 snakes, how many years will it take for the snake population to exceed the carrying capacity?
Assume that the growth rate for the population remains constant from year to year.