Richie’s Number System

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Richie established a very strange number system.
According to her claim for different combination of 0 and 2 you will get only one value and it’s zero(0).
For clarity:
2         0           2
+0       +2        +2
—–   ——   —–
0          0          0
Now if Richie adds two numbers this way, she will get:

1200
+4005
————
0070
Observing this Richie’s friend Fariha realized Richie might hide some other relation between the digits.(It’s sure that according to the number system the digits are 0,1,2,3,4,5,6,7,8,9),and no other digits or symbols exist!!

Help Fariha. She want to establish the relations!!

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