*Originally posted by phgao*

**1. Adab + Cbb + Caa = Abda
**

2. Abab - Cdd = Bac

3. Abab - Ccba = Ccdc

4. Efg + Gf + Gef = Bdfg

5. Abcb - Deac = Eadd

Note that A = a, B = b et cetera.

uhm... maybe I made a mistake:

1. 1021A+12B+200C+100D = 1001A+100B+10D

20A+200C+90D=88B

2. 1010A +101B - 100C - 11D = 100B + 10A + C

1000A + B = 101C + 11D

3. 1010A + 101B – 1100C – 10B - A = 1101C + 10D

1009A + 91B = 2201C + 10D

4. 110E + 12F + 111G = 100B + 100D + 10F + G

110E + 2F + 110G = 100B + 100D

5. 1000A + 101B + 10C - 1000D – 100E – 10A - C = 1000E + 100A + 11D

890A + 101B + 9C = 1100E + 1011D

10A + 100C + 45D = 44B

1000A + B = 101C + 11D

1009A + 91B = 2201C + 10D

55E + F + 55G = 50B + 50D

890A + 101B + 9C = 1100E + 1011D

the only possible numbers in the first one are:

A = 3

B = 5

C = 1

D = 2

then you get:

30+100+90=220

220=220 (i'm a genius ðŸ˜›)

but if you look at the second:

3000 + 5 = 101 + 22

3005 = 123 uhm... I don't think that's correct...

so, are you really sure you didn't wrote a letter wrong?