Let the number Jill is thinking of be represented by \( x \). According to the problem, we have the equation:
\[ 3x + 4 = 13 \]
To solve for \( x \), we first subtract 4 from both sides:
\[ 3x = 13 - 4 \] \[ 3x = 9 \]
Next, we divide both sides by 3:
\[ x = \frac{9}{3} \] \[ x = 3 \]
Therefore, Jill's number is \( 3 \).