Chris has a collection of 20 baseball cards and Kyle has collection of 40 baseball cards. Chris is adding 3 baseball cards per month to his collection while Kyle is adding one baseball card per month to his collection. After how many months will Chris and Kyle have the same number of baseball cards?

Let's represent the number of months as m.

After m months, Chris will have 20 + 3m baseball cards.
After m months, Kyle will have 40 + 1m baseball cards.
Setting up the equation: 20 + 3m = 40 + 1m
Subtracting 1m from both sides: 20 + 2m = 40
Subtracting 20 from both sides: 2m = 20
Dividing both sides by 2: m = 10
After 10 months, Chris and Kyle will have the same number of baseball cards. Answer: \boxed{10}.