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Suma a doua numere este 60. Impartind primul numar la al doilea numar se obtine catul 2 si restul 3. Aflati cele 2 numere.

Răspuns :

[tex]\mathrm{a+b=60} \\ \mathrm{a:b=2~rest~3 \Longrightarrow a=2b+3} \\ \mathrm{2b+3+b=60} \\ \mathrm{3b=57} \\ \underline{\mathrm{b=19}} \\ \mathrm{a=60-19} \\ \underline{\mathrm{a=41}}[/tex]
[tex]a+b=60\\a:b=2 \ rest \ 3 \to \fbox{a=2b+3}\\********************\\2b+3+b=60\\3b+3=60\\3b=60-3\\3b=57/ :3\\\bold{b=19} \\ \\ a=2*19+3 \\a=38+3\\\bold{a=41}[/tex]