**HUIT**and

**NEUF**are respectively positive integers in base 8 and base 9 notation. Each of the letters in bold represents a different digit, and none of the numbers contains any leading zero.

(

**HUIT**)

_{8}= (

**NEUF**)

_{9}- 1, and:

sod(

**HUIT**) = sod(

**NEUF**) - 1

__Extra Challenge__: A non computer program aided solution.

*** sod(x) denotes the numeric value of the sum of the digits of x.