Răspuns:
a = 242 ; b = 832 ; c = 946
Explicație pas cu pas:
a+b+c = 2020
2·(c-b) = a-14 => a = 2c-2b+14
3a = b-106
2c-2b+14+b+c = 2020 =>
3c-b = 2020-14 = 2006 (1)
3a+3b+3c = 6060
b-106+3b+3c = 6060 =>
4b+3c = 6060+106 = 6166 (2)
(2)-(1) => 4b+3c-3c+b = 6166-2006 =>
5b = 4160 => b = 4160:5 => b = 832
a = (b-106):3 = (832-106):3 = 726:3 => a = 242
c = 2020-(832+242) = 2020-1074 => c = 946
#copaceibrainly