Răspuns:
Explicație pas cu pas:
0,1(3) = (13 - 1)/90 = 12/90 = 4/30 = 2/15
0,(6) = 6/9 = 2/3
a/(2/15) = b/(2/3) = k
a = 2k/15
b = 2k/3
a + b = 144
2k/15 + 2k/3 = 144
2k/15 + 10k/15 = 144
12k/15 = 144
k = 15*144/12 = 15*12 = 180
a = 2*180/15 = 24
b = 2*180/3 = 120
