The average weight of Anwar, Amit and Gopal is 46 kg. If the average weight of Anwar and Amit be 39 kg and that of Amit and Gopal be 44 kg, then the weight of Amit (in kg) is:

Correct option is D

Given:
Average weight of Anwar, Amit, and Gopal = 46 kg
Average weight of Anwar and Amit = 39 kg
Average weight of Amit and Gopal = 44 kg
Formula Used:
Average = (Sum of quantities) ÷ (Number of quantities)
Total weight = Average × Number of persons
Solution:
Sum of weights of (Anwar + Amit + Gopal) = 46 × 3 = 138
Sum of weights of (Anwar + Amit) = 39 × 2 = 78
Sum of weights of (Amit + Gopal) = 44 × 2 = 88
Now,
(Anwar + Amit + Gopal) + Amit = (Anwar + Amit) + (Amit + Gopal)
138 + Amit = 78 + 88
138 + Amit = 166
Amit = 28