Răspuns :
I. Notam numerele cu x și y.
[tex] \it x - y = 48 \\ \it x = 5y \\ \it 5y - y = 48 \\ \it 4y = 48 \\ \\ \it y = \frac{48}{4} \\ \\ \it y = 12 \\ \it x - 12 = 48 \\ \it x = 48 \: + \: 12 \\ \it x = 60[/tex]
II. Metoda figurativa
[tex]x \: \: \: \: /-----/-----/-----/-----/-----/ \\
y \: \: \: /-----/ [/tex]
48 : 4 = 12 (reprezinta un segment, y)
[tex] \it 12 \cdot 5 = 60 \: ( primul \: numar)[/tex]
[tex] \it x - y = 48 \\ \it x = 5y \\ \it 5y - y = 48 \\ \it 4y = 48 \\ \\ \it y = \frac{48}{4} \\ \\ \it y = 12 \\ \it x - 12 = 48 \\ \it x = 48 \: + \: 12 \\ \it x = 60[/tex]
II. Metoda figurativa
[tex]x \: \: \: \: /-----/-----/-----/-----/-----/ \\
y \: \: \: /-----/ [/tex]
48 : 4 = 12 (reprezinta un segment, y)
[tex] \it 12 \cdot 5 = 60 \: ( primul \: numar)[/tex]