Question : The average weight of A, B, and C is 77 kg. If the average weight of A and B is 68 kg and that of B and C is 83 kg, then the weight (in kg) of B is:
Option 1: 74
Option 2: 71
Option 3: 73
Option 4: 67
Correct Answer: 71
Solution : Given, The average weight of A, B and C is 77 kg. The average weight of A and B is 68 kg and that of B and C is 83 kg. We know, Total = average × number of items ⇒ Total weight of A, B, and C = 77 × 3 = 231 kg ............(1) Total weight of A and B = 68 × 2 = 136 kg .............(2) And, Total weight of B and C = 83 × 2 = 166 kg ..............(3) From the formed equations, Total weight of A and B + Total weight of B and C – Weight of B = Total weight of A, B, and C ⇒ 136 + 166 – Weight of B = 231 ⇒ Weight of B = 302 – 231 ⇒ Weight of B = 71 kg Hence, the correct answer is 71 kg.
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