6. (10 points) Doudou's family has 4 people. This year, Doudou's brother is 3 years older than Doudou, and Doudou's mother is 2 years younger than Doudou's father. 5 years ago, the total age of the family was 59 years, and 5 years later, the total age of the family will be 97 years. Doudou's mother is $\qquad$ years old this year.
【Solution】Solution: $10 \times 4-(97-59)$
$$
\begin{array}{l}
=40-38 \\
=2 \text { (years) }
\end{array}
$$

So Doudou was born 3 years ago, which means Doudou is 3 years old this year. Doudou's brother's age this year is: $3+3=6$ (years old). The total age of the family this year is: $97-5 \times 4=77$ (years). The sum of the parents' ages this year is: $77-3-6=68$ (years). Doudou's mother's age this year is: $(68-2) \div 2=33$ (years old). Answer: Doudou's mother is 33 years old this year. Therefore, the answer is: 33.