Răspuns: a = 3; b = 2
Explicație pas cu pas:
(a; b) i.p. (2; 3) => 2a = 3b = k
[tex]a = \frac{k}{2} \\ b = \frac{k}{3} [/tex]
[tex]a + b = 5 = > \frac{k}{2} + \frac{k}{3} = 5 = > \frac{3k}{6} + \frac{2k}{6} = 5 = > \frac{5k}{6} = 5 = > 5k = 5 \times 6 = > 5k = 30 = > k = \frac{30}{5} = > \boxed{k = 6}[/tex]
[tex]a = \frac{k}{2} = > a = \frac{6}{2} = > \boxed{a = 3} \\ b = \frac{k}{3} = > b = \frac{6}{3} = > \boxed{b = 2}[/tex]
