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

Solution (By Examveda Team)

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