Răspuns :

Răspuns:

b) (10a+b)-(10b+a)=54

9•(a+b)=54|:9

a+b=6

c) (100a+10a+b)-(100b+10a+a)=297

(110a+b)-(100b+11a)=297

99•(a+b)=297|:99

a+b=3

[tex]\it \overline{ab}-\overline{ba}=54 \Rightarrow 10a+b-(10b+a) =54 \Rightarrow 10a+b-10b-a=54 \Rightarrow \\ \\ \Rightarrow 9a-9b=54 \Rightarrow 9(a-b)=54|_{:9} \Rightarrow a-b=6 \Rightarrow \overline{ab}\in\{93,\ 82,\ 71\}[/tex]