a+b+c = 232
a = 14b + 5
b = 7c + 1
a = 14(7c+1) + 5 => a = 98c + 19
98c + 19 + 7c + 1 + c = 232
106c + 20 = 232 <=> 106c = 232-20
106c = 212 => c = 212:106 > c = 2
b = 7 x 2 + 1 = 14+1 = > b = 15
a = 98 x 2 + 19 = > a = 215
a+b+c = 215+15+2 = 232 , corect