Final answer:
There are 37 students in the video game club and 27 students in the Pokémon club.
Step-by-step explanation:
Let's use variables to represent the number of students in each club. Let V represent the number of students in the video game club and P represent the number of students in the Pokémon club.
We know that the total number of students in the two clubs is 64, so we can write the equation V + P = 64.
We also know that the video game club has 10 more students than the Pokémon club, so we can write the equation V = P + 10.
To solve this system of equations, we can substitute V = P + 10 into the first equation:
(P + 10) + P = 64
2P + 10 = 64
2P = 54
P = 27
Substituting this value back into the second equation, we find that V = 27 + 10 = 37.
Therefore, there are 37 students in the video game club and 27 students in the Pokémon club.