hi all

my question is;

A,B and C is one-digit number different from 0 and each other

200A+40B+10A^{2}+AB+90C=2600

Actually the extended form was

300A+40B=2000

10A^{2}+AB-10C=300

100C-100A=300

but i think both form are sameway or i dont know if there any difference between that two forms about simplicity

Solve for A,B and C

Thanks and best regards.

PS:it would be so good if possible explanation of choice of solution way