The average weight of Atul, Baban and Rakesh is 46 kg. If the average weight of Atul and Baban be 39 kg and that of Baban and Rakesh be 50 kg, then the weight of Baban (in kg) is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 40.
Let weights be A, B, R.
Given:
(A + B + R) / 3 = 46 → A + B + R = 138
(A + B) / 2 = 39 → A + B = 78
(B + R) / 2 = 50 → B + R = 100
From A + B + R = 138, subtract (A + B) = 78:
R = 138 – 78 = 60
From B + R = 100:
B + 60 = 100 → B = 40