Multiple choice

Average weight of three friends Aman, Akash and Avinash is 70 kg. Another person Sangram joins the group and now the average is 66 kg. If another person Ashish whose weight is 6 kg more than Sangram, joins the group replacing Aman, then average weight of Aman, Avinash, Sangram and Ashish becomes 75 kg. What is the weight of Akash (in kg)?

  1. 18

  2. 24

  3. 32

  4. 46

  5. 54
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B Correct answer
Explanation

Average of Aman, Akash, Avinash = 70, so their sum = 210. With Sangram (average 66), sum of 4 = 264, so Sangram = 54. Ashish = Sangram + 6 = 60. Average of Aman, Avinash, Sangram, Ashish = 75, so their sum = 300. Aman + Avinash + 54 + 60 = 300, so Aman + Avinash = 186. From Aman + Akash + Avinash = 210 and Aman + Avinash = 186, we get Akash = 24.

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