The average weight of Anwar, Amit and Gopal is 45 kg. If the average weight of Anwar and Amit be 43 kg and that of Amit and Gopal be 42 kg, then the weight of Amit (in kg) is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e.35.
Sum of Anwar, Amit, Gopal = 45 × 3 = 135
Anwar + Amit = 43 × 2 = 86
Amit + Gopal = 42 × 2 = 84
Adding: (Anwar + Amit) + (Amit + Gopal) = 86 + 84 = 170
So 2 × Amit + (Anwar + Gopal) = 170
But Anwar + Gopal = 135 − Amit
Therefore: 2Amit + (135 − Amit) = 170 → Amit = 35