The average weight of Akshay, Atul and Baban is 46 kg. If the average weight of Akshay and Atul be 39 kg and that of Atul and Baban be 46 kg, then the weight of Atul (in kg) is:

Correct option is C

Given:
Average weight of Akshay, Atul and Baban = 46 kg
Average weight of Akshay and Atul = 39 kg
Average weight of Atul and Baban = 46 kg
Formula Used:
​$$\text{Average}=\frac{\text{Total Sum}}{\text{Number of persons}}$$​​
Solution:
Sum of weights of Akshay, Atul and Baban = 3 × 46 = 138 kg
Sum of weights of Akshay and Atul = 2 × 39 = 78 kg
Sum of weights of Atul and Baban = 2 × 46 = 92 kg
Let weight of Atul = x kg
Weight of Akshay = 78 − x
Weight of Baban = 92 − x
Total weight = (78 − x) + x + (92 − x) = 138
170 − x = 138
x = 32