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:
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Correct answer: A
Explanation
The correct answer is Option 1 i.e. 28.
Total weight of Anwar + Amit + Gopal = 46 × 3 = 138
Anwar + Amit = 39 × 2 = 78
Amit + Gopal = 44 × 2 = 88
(Anwar + Amit) + (Amit + Gopal) = 78 + 88 = 166
= Anwar + Gopal + 2 × Amit
Anwar + Gopal = 138 − Amit
So, 138 − Amit + 2 × Amit = 166
138 + Amit = 166
Amit = 28