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3 boxes have some average weight .when one box which weight 89kg is replaced by another box ,the average weight increases by 5kg .how much the new box weight​?
  1. 109 kg
  2. 94 kg
  3. 104 kg
  4. 84 kg
Explanation

Let the original average weight of the 3 boxes = x kg  

So, total weight = 3x


When a 89 kg box is replaced and average increases by 5 kg,  

New average = x + 5  

New total = 3(x + 5) = 3x + 15


So the new box weight =  

(Old total - 89) + New box = New total  

⇒ 3x - 89 + New box = 3x + 15  

⇒ New box = 3x + 15 - (3x - 89) = 104 kg


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