The average age of 96 workers in a factory is 32 years. The average age of the men is 41 years and that of the women is 25 years. Find the number of women in the factory.

Correct option is A

Given:
Total number of workers = 96
Average age of all workers = 32 years
Average age of men = 41 years
Average age of women = 25 years
Solution:
Let m be the number of men and w be the number of women in the factory
 m + w = 96
Total age of all workers = 32 × 96 = 3072
According to ques.
3072 = 41 × m + 25 × w
Substitute m = 96 - w into the equation:
3072 = 41 × (96 - w) + 25 × w
3072 = 41 × 96 - 41w + 25w
3072 = 3936 - 41w + 25w
3072 = 3936 - 16w
w  = 54
So, There are 54 women among total workers
Alternate Solution:

So, (7 + 9) = 16 unit = 96
1 unit = 6 
9 unit = 54 women