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The average weight of a 10-person group is 50 kg. One person left the group, and the average weight of the group decreased by 1 kg. If one new person joins the remaining group, the average weight becomes 52 kg. Find the difference between the weight of the person who left and the person who joined.
- 30 kg
- 16 kg
- 18 kg
- 20 kg
Correct answer: 20 kg
Solution
Initial total weight = \(10\times 50=500\) kg. After one person leaves, the average of 9 people becomes 49 kg, so their total is \(9\times 49=441\) kg; hence the person who left weighed \(500-441=59\) kg. After a new person joins, total becomes \(10\times 52=520\) kg, so the new person weighs \(520-441=79\) kg. The difference is \(79-59=20\) kg.
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