Question
The average weight of 4 persons is 49 kg. The heaviest
person’s weight is 16 kg more than the lightest person’s weight. If the average weight of the rest two persons is 49 kg, then find the weight of the heaviest person.Solution
The sum of the weight of 4 persons = 49 × 4 = 196 kg Let the weight of the lightest person = ‘x’ kg The weight of the heaviest person = (x + 16) kg The sum of the weight of the remaining two persons = 49 × 2 = 98 kg According to the question, x + x + 16 + 98 = 196 2x = 82 x = 41 The weight of the heaviest person = 41 + 16 = 57 kg
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