Answer
The year in which both the countries will have the same population is $2025$ and the population at that time will be $9,900,000$ people.
Work Step by Step
Consider the equation for the condition at which both the countries will have the same population
$10,600,000-28,000x=10,200,000-12,000x$
Here, x is the number of years after the year$2000$
Now, solve the above equation
$\begin{align}
& 10,600,000-28,000x=10,200,000-12,000x \\
& -28,000x+12,000x=10,200,000-10,600,000 \\
& -16,000x=-400,000 \\
& x=25
\end{align}$
This shows that the year in which the colleges will have the same enrollment is
$2000+25=2025$
Now, calculate the population at that time
$10,600,000-28,000\left( 25 \right)=9,900,000$
Thus, the year in which both the countries will have the same population is $2025$ and the population at that time will be $9,900,000$ people.
