Răspuns :
{x; y; z} dp {2; 4; 7} (nr cel mai mare - z, nr cel mai mic - x)
dp =>
[tex] \frac{x}{2} = \frac{y}{4} = \frac{z}{7} = k = > x = 2k. \: y = 4k. \: z = 7k[/tex]
z - x = 60
7k - 2k = 60
5k = 60
k = 12 => x=24; y=48; z=84
{x; y; z} dp {2; 4; 7} (nr cel mai mare - z, nr cel mai mic - x)
dp =>
[tex] \frac{x}{2} = \frac{y}{4} = \frac{z}{7} = k = > x = 2k. \: y = 4k. \: z = 7k[/tex]
z - x = 60
7k - 2k = 60
5k = 60
k = 12 => x=24; y=48; z=84