Question : The average weight of Shubha, Govinda, and Reshma is 65 kg. If the average weight of Shubha and Govinda is 63 kg and that of Govinda and Reshma is 70 kg, then the weight of Govinda is:
Option 1: 41 kg
Option 2: 71 kg
Option 3: 88 kg
Option 4: 46 kg
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Correct Answer: 71 kg
Solution :
Let the weight of Shubha, Govinda, and Reshma be $a, b,$ and $c$ respectively.
Given, the average weight of Shubha, Govinda, and Reshma is 65 kg. The average weight of Shubha and Govinda is 63 kg and that of Govinda and Reshma is 70 kg.
⇒ $\frac{(a + b + c)}{3} = 65$
⇒ $a + b + c = 195$--------(1)
Also, $\frac{(a + b)}{2} = 63$
⇒ $a + b = 126$---------(2)
$\frac{(b + c)}{2}= 70$
⇒ $b + c = 140$---------(3)
(2) + (3) – (1)
$\therefore b = 140 + 126 - 195 = 71$ kg
Hence, the correct answer is 71 kg.
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