The average weight of Shivam, Rupesh, and Mandar is 46 kg. If the average weight of Shivam and Rupesh is 39 kg and that of Rupesh and Mandar is 48 kg, then the weight of Rupesh (in kg) is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1, i.e., 36.
Let Shivam = S, Rupesh = R, Mandar = M
Average of three = 46 → (S + R + M) ÷ 3 = 46 → S + R + M = 138
Average of Shivam and Rupesh = 39 → (S + R) ÷ 2 = 39 → S + R = 78
Average of Rupesh and Mandar = 48 → (R + M) ÷ 2 = 48 → R + M = 96
⇒ S + R + M = 138
⇒ R = (S + R + M) − (S + M)
We have S + R = 78 → M = 138 − 78 = 60
⇒ R + M = 96 → R + 60 = 96 → R = 36