The average weight of three men A, B and C is 84 kg, Another man D joins the group and the average now becomes 80 kg, if another man E whose weight is 3 kg more than that of D replace A, than the average weight of B, C D and E becomes 79 kg. The weight of A is

75 kg

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80 kg

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70 kg

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72 kg

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Solution

The correct option is D 75 kg
A + B + C = 84 $\times$ 3 = 252 KG
A + B + C + D = 80 $\times$ 4 = 320 KG.
$∴$ D = 320 - 252 = 68 Kg
E = 68 + 3 = 71 Kg.
E + B + C + D = 79 $\times$ 4 = 316 Kg
B + C = 316 - 68 - 71 = 177 Kg
$\Rightarrow A = 252 - 177 = 75 K g$

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