If the Arithmetic mean of 7, 5, 13, x and 9 is 10, then the value of x is

Answer: Option D

Arithmetic mean of 7, 5, 13, x and 9 = 10
$$\begin{array}{rl}& \Rightarrow \frac{7+5+13+x+9}{5}=10\\ & \Rightarrow 34+x=10\times 5\\ & \Rightarrow 34+x=50\\ & \Rightarrow x=50-34\\ & \Rightarrow x=16\end{array}$$