Cheng is 25 points behind Ben.
Aisha is 22 points behind Ben.
Together, they are 47 points behind Ben.
Together they can win at most 10 (8+2) points and ben will win at least 1 point.
At each game they can win 9 points more than Ben.
They are 47 points behind wich mean they need to play at least 6 games to catch up with him (round up 47/9)
The number of additional games is at least 6.
After each game 11 points are added to the total of their scores.
If the players have the same score, the total of their scores is a multiple of 3.
Let n be the number of additional games
12+9+34+11n is a multiple of 3
iff 12+9+33+1+11n is a multiple of 3
iff 1+11n is a multiple of 3.
iff n=1+3k for any `k in NN`
Therefore, the number of games will be 1, or 4, or 7, or 10....
In conclusion, The number of additional games is at least 6, in the form of 1+3k
We have a solution with 7 games
Therefore the munimum number of additional games is 7.