Maths/Numeracy question help!

Hello,

In Wales we have two Numeracy papers in November and I've been given this question and I'm really stuck, if you could please show your working out and how you got to the final answer I appreciate it!

"Five numbers have a median of 9, a mode of 10, a range of 5, and a mean of 8.

Find the five numbers"

I know how to work them out when given a number or numbers like find the median of 1 4 6 7 2 3 5 6 8 etc..

Thank you,
Jake

Start with:

a b c d e

and work from there with the information given.

For example, median is 9 therefore $c=9$ straight away.

Mean is 8 therefore $\displaystyle 8=\frac{a+b+c+d+e}{5}$

And range is 5 so $5=e-a$

With mode being 10, you know that two or more numbers will be 10.