2. (6 points) The ratio of the hourly rates of Teacher Hanhan and Teacher Xixi is 5:4. The company has decided to accelerate the training of these two teaching assistants and increase their hourly rates by 20 yuan each. As a result, the ratio of their hourly rates became 6:5. After the increase, the sum of the hourly rates of these two teachers is $\qquad$ yuan.
【Solution】Solution: According to the analysis, let the hourly fees of Teacher Hanhan and Teacher Xixi be $5 k$ and $4 k$, respectively. After the increase, they become: $5 k+20$ and $4 k+20$, so: $(5 k+20):(4 k+20)=6: 5$

Solving for $k$ gives: $k=20$, thus the total hourly fees of the two teachers after the increase are: $5 k+20+4 k+20=9 k+40=9 \times 20+40=220$ (yuan).

Therefore, the answer is: 220.