Răspuns:
101, 319
Explicație pas cu pas:
[tex] 100 < n < 350\\\\ n : 20 = c_1 \: rest \: r, r < 20\\\\ n = 20c_1 + r\\\\ n : 25 = c_2 \: rest \: r, r < 25\\\\ n = 25c_2 + r\\\\ n = 20c_1 + r = 25c_2 + r\Bigg | -r\\\\ n - r = 20c_1 = 25c_2\\\\\implies n-r \in M_{[20, 25]} \implies n-r \in M_{100}\\\\ \textrm{Daca n are valoare minima, atunci } r = 1, (r \neq 0)\\\\\implies n-1 = 100 \implies n = 101\\\\\textrm{Daca n are valoare maxima, atunci } r = 19 (r < 20), n < 350\\\\\implies n - 19 = 300 \implies n = 319[/tex]
