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Diferenta a 2 numere este 330 . Daca le impartim obtinem catul 8 si restul 50 . Afla csle 2 numere?

Răspuns :

a-b=330
a:b=8 r 50 => a=b*8+50
Inlocuim in relatia de mai sus si avem:
8b+50-b=330 =>7b=280 =>b=40 => a= 330+40=370
[tex]a-b=330\\a:b=8 \ rest \ 50 \to {\boxed{a=8b+50}}\\**********************\\8b+50-b=330\\7b+50=330\\7b=330-50\\7b=280 \\ b=280:7\\\boxed{b=40} \\ \\ a-40=330\\a=330+40\\\boxed{a=370}[/tex]