2. (10 points) Xiao Long's mother is 3 years younger than his father, his mother's age this year is 9 times Xiao Long's age this year, and his father's age next year will be 8 times Xiao Long's age next year. What is the father's age this year?
39
【Analysis】Let Xiaolong's age this year be $x$ years old, then his mother's age is $9 x$ years old. Xiaolong's mother is 3 years younger than his father, so Xiaolong's father's age is $9 x+3$ years old. Next year, Xiaolong's father's age will be $9 x+3+1$ years old; Xiaolong's age next year will be $x+1$ years old, and 8 times that is $(x+1) \times 8$, which is equal to Xiaolong's father's age next year. From this, we can set up an equation to find Xiaolong's age this year, and then find his father's age.

【Solution】Let Xiaolong's age this year be $x$ years old, and Xiaolong's father's age is $9 x+3$ years old,
$$
\begin{array}{c}
(x+1) \times 8=9 x+3+1 \\
8 x+8=9 x+4 \\
9 x-8 x=8-4 \\
x=4 \\
9 x+3=9 \times 4+3=39 \text { (years old) }
\end{array}
$$

Answer: Father is 39 years old this year.
The answer is: 39.