Fie
x, y si z cele trei numere.
i.p.
{
x, y, z } → {12, 10, 18 }
x
+ y + z = 301
⇒ x/1/12 = y/1/10 = z/1/18 = t, t ≠ 0
⇒ x = t/12
y=
t/10
z
= t/18
Inlocuind
valorile lui x, y si z in suma, obtinem:
t/12
+ t/10 + t/18 = 301 | . 180
15t
+ 18t + 10t = 301 . 180
43t
= 301 . 180
t
= 54180/43
t
= 1260
x=
1260/12
x
= 105
y
= 1260/10
y
= 126
z
= 1260/18
z
= 70
