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a fost răspuns

DACA 0,(AB)+0,(BA)=0,(6)
ATUNCI A+B=?

Răspuns :

[tex]\overline{0,(ab)}+\overline{0,(ba)}=0,(6)\\ \dfrac{\overline{ab}}{99}+\dfrac{\overline{ba}}{99}=\dfrac{6}{9}\\ \\ \dfrac{10a+b}{99}+\dfrac{10b+a}{99}=\dfrac{6}{9} |\cdot 99\\ 10a+b+10b+a=66\\ 11a+11b=66\\ 11(a+b)=66\\ \boxed{a+b=6} [/tex]

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