Answer:
In 71.43 years population of both cities be the same.
If we have to integral value of years then answer will
72 years because 71.43 greater than 71 years and hence in 72th years population of both cities becomes same.
Explanation:
Let the time be n years in which population of both Waco and Austin is same.
For Waco
Initial population = 14000
population increase in 1 year = 300
population increase in n year = 300*n= 300n
Total population for Waco in n years = 14000+300n
For Austin
Initial population = 24000
population increase in 1 year = 160
population increase in n year = 160*n= 300n
Total population for Austin in n years = 24000+160n
In n years population of both the cities becomes same
therefore
Total population for Waco in n years =Total population for Austin in n years
14000+300n = 24000+160n
=> 300n - 160n = 24000-14000
=> 140n = 10000
=> n = 10,000/140 = 71. 428 Years
Thus, in 71.43 years population of both cities be the same.
If we have to integral value of years then answer will
72 years because 71.43 greater than 71 years and hence in 72th years population of both cities becomes same.