If a2 + b2 + c2 + 3 = 2(a + b + c) then the value of (a + b + c) is?

Answer: Option B

$$\begin{array}{rl}& a^2+b^2+c^2+3=2\left(a+b+c\right)\\ & \Rightarrow a^2+b^2+c^2+3=2a+2b+2c\\ & \Rightarrow a^2-2a+1+b^2-2b+1+c^2-2c+1=0\\ & \Rightarrow {\left(a-1\right)}^2+{\left(b-1\right)}^2+{\left(c-1\right)}^2=0\\ & a=1\\ & b=1\\ & c=1\\ & \therefore \left(a+b+c\right)\\ & =1+1+1\\ & =3\end{array}$$