Step 1: Analyze the statement
- "His brother's father" means the man's father (because his brother and he share the same father).
- "The only son of my grandfather" means the speaker's father (since the only son of one's grandfather is the father).
So, the man's father is the speaker's father. Step 2: Relationship deduction
If the man and the woman share the same father, they are siblings.
Therefore, the woman is the sister of the man.