Question
The average weight of ‘x’ persons is 50 kg. The
average weight of (x – 15) women is 40 kg, the average weight of (x – 20) children is 35 kg, and the average weight of (x – 24) men is 50 kg. Find the value of ‘x’, if total person is the sum of men, women and children.Solution
Total weight of x persons = 50 × x = 50x kg Total weight of (x – 15) women = 40 × (x – 15) = 40x – 600 kg According to the question, 50x = 40x – 600 + 35x – 600 + 50x – 1200 50x = 125x – 2400 125x – 50x = 2400 75x = 2400 x = 32
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