Step-by-step Solution:

Quick Solution

To solve this, we should break down the lady's statement into two parts, identify the person each part refers to, and then connect them to find the final relationship.

1. Deconstructing the Statement

Let's analyze the two main phrases in the sentence: "The father of his brother is the only son of my mother".

• Phrase 1: "...the only son of my mother" The speaker is a lady. Her mother's only son can only be the lady's brother.
• Phrase 2: "The father of his brother..." "His" refers to the man in the photograph. The father of a person's brother is that person's own father. So, this phrase simply means the man's father.

2. Connecting the Parts

The full statement says that Phrase 2 "is" Phrase 1. By equating our findings, we get:

The Man's Father = The Lady's Brother

3. Determining the Final Relationship

- If the man's father is the lady's brother, then the lady must be the man's paternal aunt (his father's sister).
- The question asks how the man is related to the lady. If she is his aunt, he is her nephew.

Final Answer: The man in the photograph is the lady's Nephew.