Multiple choice

The average weight of 3 students Aman, Akash and Avinash is 82 kg. Another student Sangram joins the group and the average becomes 79 kg. If another man Tarun whose weight is 4 kg more than that of Sangram, replaces Aman, then the average weight of Akash, Avinash, Sangram and Tarun becomes 78 kg then the weight of Aman is

  1. 78

  2. 82

  3. 45

  4. 98

  5. 88
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A Correct answer
Explanation

Total weight of Aman, Akash, Avinash = 3 × 82 = 246 kg. Total weight with Sangram = 4 × 79 = 316 kg. So Sangram = 316 - 246 = 70 kg. Tarun = 70 + 4 = 74 kg. Total weight of Akash + Avinash + Sangram + Tarun = 4 × 78 = 312 kg. So Akash + Avinash = 312 - 70 - 74 = 168 kg. Therefore Aman = 246 - 168 = 78 kg.

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