Question

The average of five numbers is 18. If one number is removed then average becomes 16. Find the number removed.

Answer 1

Let the number removed be $x$

and Let sum of remaining numbers be $y$

$\frac{x+y}{5}=18\Rightarrow y=90-x$

When this number is removed, there will be 4 remaining

$\frac{90-x}{4}=16\Rightarrow 90-x=64\Rightarrow 90-64=x\Rightarrow x=26$