Notam numarul cu a
a / 2 + a/3 + a/4 = a/8 + 46 → le aduc la acelasi numitor comun 24
12 a + 8 a + 6 a - 3 a = 24 × 46
23 a = 1 104
a = 1 104 : 23
a = 48 → numarul
Verific:
48 : 2 + 48 : 3 + 48 : 4 = 48 : 8 + 46
24 + 16 + 12 = 6 + 46
52 = 52 (Corect )