Răspuns:
a = 319 ; b = 26 ; c = 4
Explicație pas cu pas:
a+b+c = (1047/9)·3 = (1047·3):9 = 3141:9 = 349
a + b + c = 349
a : b = 12 r 7 <=> a = 12b + 7
b : c = 6 r 2 <=> b = 6c + 2 =>
a = 12·(6c+2) + 7 = 72c + 24+7 = 72c + 31
a+b+c = 72c+31 + 6c+2 + c = 349 =>
79c = 349-33 => 79c = 316
c = 316:79 => c = 4
b = 6·4+2 = 24+2 = > b = 26
a = 72·4 + 31 = 288+31 => a = 319
