# The mean weighth of A,BAND C is 50 kg .if the mean weigth of A and B is 40kg and B and C is 45 kg .find the weight of B

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A + b + c / 3 = 50 a + b + c = 150 -- Eq.1

a + b / 2 = 40 a + b = 80 -- Eq.2

b + c / 2 = 45b + c = 90 -- Eq.3

Eq.1 - Eq.2 a + b + c - a - b = 150 - 80c = 70

Eq.1 - Eq.3a + b + c - b - c = 150 - 90a = 60

Putting these values in Eq.1a + b + c = 15060 + b + 70 = 150130 + b = 150b = 150 - 130b = 20 kg

a + b / 2 = 40 a + b = 80 -- Eq.2

b + c / 2 = 45b + c = 90 -- Eq.3

Eq.1 - Eq.2 a + b + c - a - b = 150 - 80c = 70

Eq.1 - Eq.3a + b + c - b - c = 150 - 90a = 60

Putting these values in Eq.1a + b + c = 15060 + b + 70 = 150130 + b = 150b = 150 - 130b = 20 kg