the average weight of 3 men a b and c is..., Average, General Mathematics

Question:The average weight of `3` 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,replaces .A then the average weight of B,C,D and E becomes `79 kg`.The weight of A is :

A `70 kg` 
B `72 kg` 
C `75 kg` 
D `80 kg`

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+ AnswerC

+ ExplanationA + B + C 

`= (84 xx 3)`

`= 252 kg`,

A + B + C + D

`= (80 xx 4)`

`= 320 kg`

`:. D = (320 - 252) kg`

`= 68 kg, E = (68 + 3) kg`

`= 71 kg`

B + C + D + E

`= 316 kg`

Now (A + B + C + D) - (B + C + D + E)

`= (320 - 316) kg`

`= 4 kg`

`:. A - E = 4 ⇒ A ⇒ A`

`= (4 + E)`

`= 75 kg`.

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