Question
The average weight of ‘x’ persons is 65 kg. The
average weight of (x – 14) women is 64 kg, the average weight of (x – 20) children is 35 kg, and the average weight of (x – 28) 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 = 65 × x = 65x kg Total weight of (x – 14) women = 64 × (x – 14) = 64x – 896 kg According to the question, 65x = 64x – 896 + 35x – 896 + 50x – 1400 65x = 149x – 3192 84x = 3192 x = 38
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