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.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 54 .
Let number of men = m, women = w.
Given: m + w = 96
Average age: (41m + 25w) / 96 = 32
Multiply both sides by 96:
41m + 25w = 32 × 96 = 3072
From m + w = 96 → m = 96 - w
Substitute:
41(96 - w) + 25w = 3072
3936 - 41w + 25w = 3072
3936 - 16w = 3072
16w = 3936 - 3072 = 864
w = 864 ÷ 16 = 54