The average weight of lsquo;xrsquo; persons is 33 kg. The average weight of (x ndash; 16) women is 45 kg, the average weight of (x ndash; 30) children is 40 kg, and the average weight of (x ndash; 33) men is 40 kg. Find the value of lsquo;xrsquo;, if total person is the sum of men, women and children.

Total weight of x persons = 35 times; x = 35x kg

Total weight of (x ndash; 16) women = 45 times; (x ndash; 16) = 45x ndash; 720 kg

Total weight of (x ndash; 30) children = 40 times; (x ndash; 30) = 40x ndash; 1200 kg

Total weight of (x ndash; 33) men = 40 times; (x ndash; 33) = 40x ndash; 1320 kg

According to the question,

35x = 45x ndash; 720 + 40x ndash; 1200 + 40x ndash; 1320

35x = 125x ndash; 3240

90x = 3240

x = 36

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