Suppose you are y years old and your father is f years old.
How would you express in symbols the statement that your father is more than 25 years older than you?

Answer

To express the statement that your father is more than 25 years older than you in symbols, we can follow these steps:

1. **Identify the variables**:
- Let \( y \) represent your age.
- Let \( f \) represent your father's age.

2. **Understand the statement**:
- The statement says that your father is "more than 25 years older" than you. This means that the difference between your father's age and your age is greater than 25.

3. **Set up the inequality**:
- To express that your father is more than 25 years older than you, we can write the inequality:
\[ f - y > 25 \]
This means that when you subtract your age \( y \) from your father's age \( f \), the result is greater than 25.

4. **Final expression**:
- Therefore, the expression in symbols that represents the statement is:
\[ f - y > 25 \]