Factory and divisions

The factory consists of three auxiliary divisions total 2,406 employees. The second division has 76 employees less than 1st division and 3rd division has 212 employees more than the 2nd. How many employees has each division?

Correct result:

a =  782
b =  706
c =  918


b = a - 76
c = b + 212

a+b+c = 2406
a-b = 76
b-c = -212

a = 782
b = 706
c = 918

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