Three friends

Divide 570 euros to three friends so that first will get 50 euros less than the second and third twice more than the first. How many euros will get everyone?

Correct result:

a =  130
b =  180
c =  260

Solution:

570 = a+b+c
a = b-50
c = 2a

570 = a+b+c
a = b-50
c = 2•a

a+b+c = 570
a-b = -50
2a-c = 0

a = 130
b = 180
c = 260

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