Question

Determinați cifrele a si b pentru care 0,(a)+0,a(b)=0,8(6)

Answer 1

0,(a)+0,a(b)=0,8(6)
a/9+(10a+b-a)/90=(86-8) /90
a/9+(9a+b)/90=78/90
10a+9a+b=78
19a+b=78
78:4=19 si rest 2
a=4
b=2

verificare
0,(4)+0,4(2)=4/9+(42-4)/90=4/9+38/90=(40+38)/90=78/90=0,8(6)