Question
The average weight of 15 men is 70 kg. One man leaves the group and another man weighing 82 kg joins the group. The new average becomes 71 kg. Find the weight of the man who left.
Solution
Total weight of 15 men initially = 15 × 70 = 1050 kg After replacement, there are still 15 men with average 71 kg: New total = 15 × 71 = 1065 kg Let weight of man who left = x kg. Then: New total = Old total − x + 82 1065 = 1050 − x + 82 1065 = 1132 − x x = 1132 − 1065 = 67 kg Answer: The man who left weighed 67 kg.
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