[tex]\displaystyle{\overline{3ab}=300 + 10a + b}[/tex]
[tex]\displaystyle{ \overline{5ab} = 500 + 10a + b}[/tex]
[tex]\displaystyle{ \overline{3ab} + \overline{5ab} = 846 \leftrightarrow 300 + 10a + b + 500 + 10a + b = 846}[/tex]
[tex]\displaystyle{ 800 + 20a + 2b = 846}[/tex]
[tex]\displaystyle{ 20a + 2b = 846 - 800 = 46}[/tex]
[tex]\displaystyle{2 \cdot (10 a + b) = 46 \rightarrow 10a + b = 46 : 2 = 23}[/tex]
[tex]\displaystyle{10 a + b = 23 \rightarrow a = 2, \ b = 3}[/tex]
[tex]\displaystyle{ a + b = 2 + 3}[/tex]
[tex]\boxed{ a + b = 5}[/tex]
- Lumberjack25
#copaceibrainly
