Răspuns:
a = 34
b = 54
c = 76
Explicație pas cu pas:
a + b +c = 164
a : 2 - 2 = b : 3 -3 = c : 4 - 4 | · 12
6a - 24 = 4b - 36 = 3c - 48
6a-24 = 4b - 36 | +36
6a + 12 = 4b | :4
b = 2 ( 3a + 6 ) : 4
b = [tex]\frac{3a+6}{2}[/tex]
6a-24 = 3c-48 | +48
6a + 24 = 3c | :3
c = 2a + 8
a + b + c = 164
a + [tex]\frac{3a+6}{2}[/tex] + 2a + 8 = 164 | ·2
2a + 3a + 6 + 4a + 16 = 328
9a + 22 = 328 |-22
9a = 306 | :9
a = 34 => b = (3·34 + 6) : 2
b = 108: 2 = 54
c = 2·34 +8
c = 68 + 8
c = 76
