Xiaowen is 7 years old and her mother is 35 years old. How old is Xiaowen's mother eight times as old as Xiaowen?

The age difference between mother and Xiaowen is 35-7=28 years old.

First, let's assume the unknown. When Xiaowen's age is X, her mother's age is 28+X. From the meaning of the question, we can get 28+X = 8x, and X=4.

Second, when the mother's age is eight times that of Xiaowen, then the age difference of 28 should be seven times that of Xiaowen, and 28/7=4.