Question

Am I correct?
Finn and his little brother made up a game using coins. They flip the coins towards a cup and receive points for every one that makes it in. Finn starts with 20 points, and his little brother starts with 30 points. Finn gets 2 points for every successful shot, and his brother, since he is younger, gets 1 point for each successful shot. Eventually, the brothers will have a tied score in the game. How many points will they both have?
Write a system of equations, graph them, and type the solution.