1.

The average weight of Jaffar, Guna and Ashik is 60 kg. If the average weight of Jaffar and Guna be 55 kg and that of Guna and Ashik be 50 kg, then the weight of Guna is: 1). 30 kg2). 20 kg3). 35 kg4). 40 kg

Answer»

Let the WEIGHT of Jaffar, Guna and Ashik be a, b and c

Average weight of Jaffar, Guna and Ashik = Sum of weights/3

⇒ 60 = (a + b + c)/3

⇒ a + b + c = 180----(1)

Also,

Average weight of Jaffar and Guna = sum of weights/2

⇒ 55 = (a + b)/2

⇒ a + b = 110

⇒ a = 110 – b----(2)

Also,

Average weight of Guna and Ashik = Sum of weights/2

⇒ 50 = (b + c)/2

⇒ b + c = 100

⇒ c = 100 – b----(3)

Now, substituting equation (2) and (3) in equation (1),

⇒ (110 – b) + b + (100 – b) = 180

210 – b = 180

⇒ b = 30

∴ The weight of Guna is = 30 kg 



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