Question
The average of a set of s numbers is 27. If 60 is added
to the set, then the average of the set becomes 27.75. Find the value of 4 X (s - 18).Solution
Sum of all 's' numbers of the set = 27 X s = '27s' ATQ; (27s + 60)/(s + 1) = 27.75 Or, 27s + 60 = 27.75s + 27.75 Or, 60 - 27.75 = 27.75s - 27s Or, 32.25 = 0.75s So, s = 43 So, required value = 4 X (43 - 18) = 100
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