The average weight of Mahesh, Ram and Anwar is 46 kg. If the average weight of Mahesh and Ram be 39 kg and that of Ram and Anwar be 49 kg, then the weight of Ram (in kg) is:

Correct option is C

Given:
Average weight of Mahesh, Ram, and Anwar = 46 kg
Average weight of Mahesh and Ram = 39 kg
Average weight of Ram and Anwar = 49 kg
Solution:
Let the weights of Mahesh, Ram, and Anwar be M, R, and A respectively.
​$$\frac{M + R + A}{3} = 46 \Rightarrow M + R + A = 138 \quad \text{...(1)} \\\ \\\frac{M + R}{2} = 39 \Rightarrow M + R = 78 \quad \text{...(2)} \\\ \\\frac{R + A}{2} = 49 \Rightarrow R + A = 98 \quad \text{...(3)} \\\\ \\$$​​
Now, using equation (1):
M + R + A = 138
Substitute M + R = 78 (from equation 2):
78 + A = 138 => A = 60
Substitute A = 60 into equation 3:
R + 60 = 98 => R = 38
Ram's weight = 38 kg