Question

Determinati numerele naturale abc cu bara deasupra , stiind ca a+b = 8 si c = 3 * b .

Answer 1

$\rm c \leq 9 \Leftrightarrow 3b \leq 9 \Leftrightarrow b \leq 3 \Rightarrow b \in \{0,1,2,3\}. \\ \\ a+b=8 \Rightarrow a=8-b. \\ \\ b=0 \Rightarrow a=8~si~c=0. \\ \\ b=1 \Rightarrow a=7~si~c=3. \\ \\ b=2\Rightarrow a=6 ~si~c=6. \\ \\ b=3\Rightarrow a=5 ~si~c=9. \\ \\ \underline{Solutie}: \boxed{ \overline{abc} \in \{539,~626,~713,~800 \} }~.$