The average weight of A,B and C is 80 kg.If D joins the group,the average weight become 84 kg.When E joins the group,the average weight become 3 kg more than the group where D replaces A. Find the weight of A.
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average weight of a b and c = 80 kg
weight of a + b + c /3 = 80 kg
sum of weight of a b and c = 80 kg × 3
= 240kg
average weight when d join group = 84 kg
sum of weight of a b c and d = 84kg × 4
= 336kg
therefore mass of d = 336kg - 240kg
= 94 kg
when is e join the group the average weight become 3 kg more than the group where d replace a.
weights of a b c e /4 = 83 kg
weight of a = 83×4 - 240kg
=342 kg - 240kg
= 112 kg.
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