[tex]\displaystyle\bf\\\textbf{Aflati cel mai mare numar natural care impartit la 27}\\\textbf{da catul de patru or mai mic decat restul.}\\\\Rezolvare:\\\\D:27=C~si~restul~R\\\\Catul~este~de~4~ori~mai~mic~decat~restul.\\\\\implies~C=\frac{R}{4}\\\\D:27=\frac{R}{4}~si~restul~R\\\\Cel~mai~mare~rest~este~26,\\dar~cel~mai~mare~rest~divizibil~cu~4~este~24.\\\\\implies~D:27=\frac{24}{4}~si~restul~24\\\\Cel~mai~mare~deimpartit~este:\\\\D=27\times\frac{24}{4}+24=27\times6+24=162+24=\boxed{\bf186}\\\\[/tex]
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[tex]\displaystyle\bf\\Verificare:\\\\186 : 27=6~rest~24[/tex]