The average weight of A, B and C is 60kg. if the average weight of A and B is 55kg and the average weight of B and C is 58kg, then what is the weight of B?

Average weight of A, B and C is 60kg

Average weight of A and B is 55kg

Average weight of B and C is 58kg

​Let's denote the weights of A, B, and C as A, B, and C, respectively.

We are given:

​$$\frac{A + B + C}{3} = 60 \\$$​​​

​$$\frac{A + B}{2} = 55 \\$$

​​​From equation 1, we get:

​$$A+B+C= 180$$

​​From equation 2, we get:

​$$A+B=110$$

​​Subtracting equation 2 from equation 1, we get:

​$$C=70$$

​​From equation 3, we get:

​$$B+70=116$$

​​Therefore, $$B=46kg$$

​​So, the weight of B is 46 kg.