Question

Aflati cifrele a si b stiind ca ab+ba,respectiv ab-ba sunt patrate perfecte
VA ROG IMI TREBUIE MAINE!!!!DAU SI COROANA!!!!

Answer 1

[tex]\overline{ab} +\overline{ba} = 10a+b+10b+a= 11a+11b=11(a+b) = p.p. \Longrightarrow a=b=11\ \ \ \ (1)[/tex]

[tex]\overline{ab}-\overline{ba} = 10a+b-10b-a=9a-9b=9(a-b)=p.p. \Longrightarrow a-b=1\ \ \ \ (2)[/tex]

$(1), (2) \Longrightarrow a=6,\ \ b=5$