A, B and C average is 45. The average weight of A and B is 4o Kg and that of B and C is 43 Kg. Find the weight of B?
Explanation
The average weight of A, B, and C is 45 kg, so the total weight is 45 x 3 = 135 kg.
The average weight of A and B is 40 kg, so their total weight is 40 x 2 = 80 kg.
The average weight of B and C is 43 kg, so their total weight is 43 x 2 = 86 kg.
Now, let's find the weight of B:
Subtract the weight of A from the total weight of A and B: 80 kg - A = B
Subtract the weight of C from the total weight of B and C: 86 kg - C = B
Since the total weight of A, B, and C is 135 kg, we can set up the equation:
A + B + C = 135
Substituting the expressions for B from steps 1 and 2, we get:
(80 kg - B) + B + (86 kg - B) = 135
Simplifying the equation, we get:
166 kg - B = 135
Subtracting 166 kg from both sides:
-31 kg = -B
Dividing both sides by -1:
B = 31 kg
Therefore, the weight of B is 31 kg.
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