1.

The average weight of three men A, B and C is 84 kg. D joins them and the average weight of the four becomes 80 kg. If E whose weight is 3 kg more than that of D replaces A, the average weight of B, C, D and E becomes 79 kg. The weight of A is (a) 65 kg (b) 70 kg (c) 75 kg (d) 80 kg

Answer»

Answer is: (c) 75 kg

Total weight of A + B + C = 84 × 3 = 252 kg 

Total weight of A + B + C + D = 80 × 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 × 4) kg = 316 kg 

∴ Weight of B + C = 316 kg – 71 kg – 68 kg = 177 kg 

Weight of Aonly = 320 kg– 177 kg– 68 kg = 75 kg



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