Let's denote the unknown number as \( x \). According to the problem, we need to represent "four fifths of a number minus 12 is more than 24.85" as an inequality.
The phrase "four fifths of a number" can be expressed mathematically as \( \frac{4}{5}x \).
The full statement can be translated to the inequality:
\[ \frac{4}{5}x - 12 > 24.85 \]
This inequality can now be solved to find the possible values of \( x \).