Question

determinati numerele reale ab,(cu bara deasupra)a diferit de b,stiind ca ab/ba=3/8

Answer 1

[tex]\it \dfrac{\overline{ab}}{\overline{ba}} =\dfrac{3}{8} \Rightarrow 8\overline{ab}=3\overline{ba} \Rightarrow 8(10a+b) =3(10b+a) \Rightarrow \\\;\\ \Rightarrow \it80a+8b=30b+3a \Rightarrow 77a = 22b|_{:11} \Rightarrow 7a = 2b \Rightarrow \\\;\\ \Rightarrow \it a=2,\ \ b= 7[/tex]

Deci, numărul cerut este 27