Question 59

The average age of 8 persons in a committee is increased by 2 years when two men aged 35 years and 45 years are substituted by two women. The average age of these two women is

Solution

Let the average age of members of committee be A and 2 women be a and b.

ΣM = A * 8

ΣM +a + b - 35 - 45 = 8*(A + 2)

8A + a + b - 35 - 45 = 8*(A + 2)

a+b = 96

Average age of 2 women = 96/2 = 48 years

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