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The average age of 8 persons in a committee is increased by two years when two men whose ages are 35 years and 45 years are replaced by two women. The average age of two women is (in yrs)--
  • a)
    40
  • b)
    42
  • c)
    48
  • d)
    45
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The average age of 8 persons in a committee is increased by two years ...
Let the average age of the women be A years.
Total of their ages = 2A
Total of the eight persons = ET
When replaced (ET - 80 + 2A)/8 = ET/8 + 2
2A - 80 = 16
A = 96/2 = 48
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Most Upvoted Answer
The average age of 8 persons in a committee is increased by two years ...
Given Information:
- Average age of 8 persons in the committee increases by 2 years when two men aged 35 and 45 are replaced by two women.

Calculating the Initial Average Age:
- Let the initial sum of ages of 8 persons be x.
- Initial average age = x/8

Calculating the Final Average Age:
- After replacing two men with two women, the new sum of ages will be x - 35 - 45 + 2w + 2w, where w is the average age of the two women.
- Final average age = (x - 35 - 45 + 2w + 2w)/8

Using the Given Information:
- From the given information, we know that the final average age is 2 years higher than the initial average age.
- Therefore, we can set up the equation: (x - 35 - 45 + 2w + 2w)/8 = x/8 + 2

Solving the Equation:
- Simplifying the equation, we get: (x - 80 + 4w) / 8 = x/8 + 2
- Further simplifying, we get: x - 80 + 4w = x + 16
- Rearranging the terms, we get: 4w = 96
- Therefore, the average age of the two women is 96/2 = 48 years.
Therefore, the average age of the two women is 48 years. Hence, the correct answer is option 'C'.
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The average age of 8 persons in a committee is increased by two years when two men whose ages are 35 years and 45 years are replaced by two women. The average age of two women is (in yrs)--a)40b)42c)48d)45Correct answer is option 'C'. Can you explain this answer?
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