ab scris in baza 10⇒ab=10a+b
ba scris in baza 10⇒ba=10b+a
2ab+2ba=132
[tex]2*(10a+b)+2*(10b+a)=132 \\ 20a+2b+20b+2a=132 \\ 22a+22b=132[/tex]
[tex]22*(a+b)=132 \\ a+b=132:22 \\ a+b=6[/tex]
solutia 1:
a=5 b=1
solutia 2:
a=4 b=2
solutia 3:
a=3 b=3
solutia 4:
a=2 b=4
solutia 5:
a=1 b=5