Question

Aflati 2 numere naturale consecutive care au catul 1,0(5) .

Answer 1

1,0(5)=(105-10)/90=95/90
(a+1):a=95/90
90(a+1)=95a
90a+90=95a
5a=90
a=18
a+1=19
19:18=1,0(5)

Answer 2

b=a-1;
⇒a/b=105-10/90=95/90;
⇒a/b=95/90
⇒a/a+1=9590
⇒95[a+1]=90a
⇒95a+95=90a
⇒95a-90a=95
⇒5a=95
⇒a=19;
⇒b=a-1
⇒b=19-1
⇒b=18;