Question
The average weight of Gopal, Akshay and Atul is 46 kg.
If the average weight of Gopal and Akshay be 40 kg and that of Akshay and Atul be 45 kg, then the weight of Akshay (in kg) is:ÂSolution
Average of Gopal, Akshay, Atul = 46 ⇒ G + A + T = 46 × 3 = 138 Average of Gopal and Akshay = 40 ⇒ G + A = 80 Average of Akshay and Atul = 45 ⇒ A + T = 90 Add last two equations: (G + A) + (A + T) = 80 + 90 G + 2A + T = 170 But G + A + T = 138 Subtract: (G + 2A + T) − (G + A + T) = 170 − 138 A = 32
Fill in the correct option for 28 blank space.
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