The population of a village is 5000. If in a year, the number of males were to increase by 5% and that of females by 3% annually, the population would grow to 5202 at the end of the year. If M is the number of males and F is the number of females in the village, then (M,F) =

Let the number of males be x and the number of females be y.

$$x+y=5000\rightarrow1$$

If the number of males were to increase by 5% and that of females by 3% annually, the population would grow to 5202 at the end of the year. 

$$1.05x+1.03y=5202\rightarrow2$$

Multiply eq. 1 by 1.05, and subtract eq. 2 from it-

$$1.05y-1.03y=5000(1.05)-5202$$

$$0.02y=48$$

$$y=2400$$

Thus, $$x=2600$$

Therefore, the number of males is 2600, and the number of females is 2400.