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The average age of the women in an office is equal to the number of men and the average age of men are equal to the number of women. If the average age of whole of the office members is 4 less than the average of a man's and woman's average age then find out the number of members in the office. (A) 24 (B) 48?
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The average age of the women in an office is equal to the number of me...
Problem Analysis:
Let's assume the number of women in the office is 'W' and the number of men is 'M'. We are given that the average age of women is equal to the number of men, and the average age of men is equal to the number of women. We need to find the total number of members in the office.

Solution:
Given:
- The average age of women = number of men = M
- The average age of men = number of women = W
- The average age of all office members = (M + W)/2 - 4

Let's calculate the total age of women and men:
- Total age of women = average age of women * number of women = M * W
- Total age of men = average age of men * number of men = W * M

Since the average age of all office members is 4 less than the average of a man's and woman's average age, we can write the equation as:
(M * W + W * M)/2 - 4 = (M + W)/2

Simplifying the equation:
(M * W + W * M) - 8 = M + W

(M * W + W * M) - (M + W) - 8 = 0

(M - 1)(W - 1) = 9

The possible pairs of (M, W) that satisfy the equation are (2, 10) and (10, 2).

Therefore, the number of members in the office is 2 + 10 = 12 or 10 + 2 = 12.

Answer:
The number of members in the office is 12.
Community Answer
The average age of the women in an office is equal to the number of me...
24
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The average age of the women in an office is equal to the number of men and the average age of men are equal to the number of women. If the average age of whole of the office members is 4 less than the average of a man's and woman's average age then find out the number of members in the office. (A) 24 (B) 48?
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