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Aflati 2 nr. Naturale stiind ca diferenta lor este 38 , iardaca il impartim pe cel mare la cel mic optinem catul 6 si restul 3 ????

Răspuns :

a-b=38
a;b=6r3
a=6b+3
6b+3-b=38
5b=35
b=35:5
b=7
a-7=38
a=38+7
a=45
[tex]a-b=38 \\ a:b=6 \ rest \ 3 \to \fbox{a=6b+3} \\ ******************\\\\6b+3-b=38\\5b+3=38\\5b=38-3\\5b=35\\b=35:5\\\fbox{\fbox{b=7}} \\ \\ a-7=38\\a=38+7\\\fbox{\fbox{a=45}}[/tex]