[Guest]

Each of the capital letters in this 3x3 square is to be substituted by a different digit from 1 to 9 such that :

(i) Each of A, C, G and I is even, and:

(ii) The sum of the digits in each of the four 2x2 subsquares is equal.

A  B  C

D  E  F

G  H  I 

How many distinct solutions are there?

Note: The reflections and rotations of a given arrangement should be treated as the same solution.

[Guest]

so with just placing a random even as one number doesnt matter its in a corner somewhere so who cares where

i chose two which quickly gave me all the evens as

2b4

def

6h8

then using formulas it became evident that b was 5,7,9 and that with this one placement all other numbers had definite locations

i plugged them in and 7 turned out not to work so the anser is two with the numbers being

254

937

618

294

371

658