Răspuns:
Explicație pas cu pas:
0,(3) = 1/3, 0,1(6) = 1,5/9 = 15/90 = 1/6
x/(1/2)=y/(1/3)=z/(1/6)
2x = 3y = 6z = k
3*2x = 3k, 2*3x =3k, 3x = 3k/2
4*3y = 4k, 3*4y =4k, 4y = 4k/3
3*2z = k, 2z = k/3
3k/2 + 4k/3 + k/3 = 30
(9k + 8k - 2k)/6 = 30
15k/6 = 30
k/6 = 2
k = 12
2x =12, x = 6
3y = 12, y = 4
6z = 12, z = 2
