xxx is a positive integer such that the sum of its digits times 5 equals itself.
What is x?x?x?
For example, 32 does not qualify because (3+2)×5=25≠32. (3+2)\times 5 = 25 \neq 32. (3+2)×5=25=32.
Bonus: Prove that there is only one possible value for x.x.x.