Multiple choice

The average weight of 50 players is 60 kg. If the players with weights 60 kg and 65 kg leave and three new players join, then the average remains unchanged. Find the average weight of three players who joined later.

  1. 73.37 kg

  2. 85 kg

  3. 61.67 kg

  4. 65.5 kg

  5. 70 kg
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial sum = 50 * 60 = 3000. After two leave, sum = 3000 - 60 - 65 = 2875. With 3 new players, total players = 51. Since average remains 60, new sum = 51 * 60 = 3060. Sum of 3 new players = 3060 - 2875 = 185. Average = 185 / 3 = 61.666...

AI explanation

The total weight of the 50 players is 50 times 60, which equals 3000 kg. After two players leave and three join, there are 51 players, and since the average remains 60, the new total weight is 51 times 60, equaling 3060 kg. The two departing players weighed 60 kg and 65 kg, so the remaining 48 original players weigh 2875 kg, making the combined weight of the three new players 185 kg. Their average weight is 185 divided by 3, which gives 61.67 kg.

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