Let the number of men be \( m \). According to the problem, the number of women is \( 2m \) (twice as many women as men).
The total number of workers is given as 84. Therefore, we can set up the following equation:
\[ m + 2m = 84 \]
Simplifying this gives:
\[ 3m = 84 \]
Now, divide both sides by 3:
\[ m = \frac{84}{3} = 28 \]
So, there are 28 men. Now, to find the number of women:
\[ 2m = 2 \times 28 = 56 \]
Thus, the number of women is 56.