The average weight of A, B, and C is 65 kg. If the average weight of C and B is 61.5 kg, and the average weight of A and C is 68.5 kg, then the weight of C (in kg) is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e 65.
Average = sum of weights/Number of persons
Calculation:
Weight of A, B, and C
⇒ (A + B + C)/3 = 65
⇒ A + B + C = 195
Weight of C and B
⇒ (C + B)/2 = 61.5
⇒ C + B = 123
Weight of A and C
⇒ (A + C)/2 = 68.5
⇒ A + C = 137
Weight of A
⇒ 195 - 123 = 72
Weight of C
⇒ A + C = 137
⇒ C = 137 - 72
⇒ C = 65
Thus, the weight of C is 65 kg