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?
- 109 kg
- 94 kg
- 104 kg
- 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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