Finding $5$ numbers knowing their mean and median

Question

create a set of five values with a mean of $4$ and a median of $5$. demonstrate that this true

I think that should be $5$ variables but I have only $2$ equations ,so it will be $5$ variables in $2$ equations, how can I solve it?

Answer 1

One possible solution:

$$a+b+5+d+e=20$$ $$a+b+d+e=15$$

$$a,b < 5$$

$$d,e > 5$$

Let me try some numbers, let $a=0$, $b=1$.

Then I end up up $d+e=14$

Let $d=6$ and I have found $e=8$.