Vrijeme: 22:37

Divide et impera #2

Koliko ima troznamenkastih prirodnih brojeva \overline{abc} za koje vrijedi \frac{a}{b}+\frac{b}{c}+\frac{c}{a}=3 ?
How many three-digit natural numbers \overline{abc} satisfy the condition \frac{a}{b}+\frac{b}{c}+\frac{c}{a}=3?