The average weight of Rakesh, Shivam and Rupesh is 46 kg. If the average of Rakesh & Shivam is 40 and average of Shivam & Rupesh is 48, find weight of Shivam.

Correct option is A

Given:
Average weight of Rakesh, Shivam and Rupesh = 46 kg.
Average of Rakesh & Shivam = 40 kg
Average of Shivam & Rupesh = 48 kg
Formula Used:
Average = Total ÷ Number
Solution:
​$$\frac{R + S + P}{3} = 46 \;\Rightarrow\; R + S + P = 138 \\\ \\\frac{R + S}{2} = 40 \;\Rightarrow\; R + S = 80\\\ \\\\\ \\\frac{S + P}{2} = 48 \;\Rightarrow\; S + P = 96\\\ \\P = 138 - 80 = 58\\\ \\S = 96 - 58 = 38\\\ \\$$​​
So Shivam’s weight = 38 kg