Question
The average weight of x persons
is 33 kg. The average weight of (x−16) women is 45 kg, the average weight of (x−30) children is 40 kg, and the average weight of (x−35) men is 40 kg. Find the value of x, given that the total number of persons is the sum of men, women, and children.Solution
ATQ, Total weight of x persons = 35 × x = 35x kg Total weight of (x - 16) women = 45 × (x -16) = 45x - 720 kg Total weight of (x - 30) children = 40 × (x - 30) = 40x - 1200 kg Total weight of (x - 33) men = 40 × (x - 33) = 40x - 1320 kg According to the question, 35x = 45x - 720 + 40x - 1200 + 40x - 1320 35x = 125x - 3240 90x = 3240 x = 36
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