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
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