The average weight of A. B and C is 80 kg. If D joins the group, the average weight becomes 84 kg. When E joins the group. the average weight becomes 3 kg more than the group, where D replaces A. Find the weight of A.
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Answer:
Total weight of A + B + C = 84 x 3 = 252 kg
Total weight of A + B + C + D = 80 x 4 = 320 kg
∴ Weight of D = 320 - 252 = 68 kg
Given, E = D + 3 = (68 + 3) kg = 71 kg
Total weight of B + C + D + E = (79 x 4) kg = 316 kg
∴ Weight of B + C = 316 kg - 71 kg - 68 kg = 177 kg
Weight of A only = 320 kg - 177 kg - 68 kg = 75 kg
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Explanation:
A + B + C = 84 × 3 = 252 KG
A + B + C + D = 80 × 4 = 320 KG.
∴ D = 320 - 252 = 68 Kg
E = 68 + 3 = 71 Kg.
E + B + C + D = 79 × 4 = 316 Kg
B + C = 316 - 68 - 71 = 177 Kg
⇒A=252−177=75Kg
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