Question

The average of the numbers $1,2,3,98,99,andx$ is $100x$. What is x?

Answer 1

Given $Average=100x$

We know that,

$Average=\frac{\text{sum of values}}{\text{number of values}}$

$\Rightarrow 100x=\frac{1+2+3+98+99+x}{6}$

$\Rightarrow 600x=203+x$

$\Rightarrow 599x=203$

$\Rightarrow x=\frac{203}{599}=0.34$