[tex] \frac{1}{a} + \frac{1}{b} + \frac{1}{c} = \frac{41}{42} [/tex]
Considerăm:
a=2 și b=3
[tex] \frac{1}{2} + \frac{1}{3} + \frac{1}{c} = \frac{41}{42} [/tex]
[tex] \frac{21}{42} + \frac{14}{42} + \frac{ 1}{c} = \frac{41}{42} [/tex]
[tex]41 - 21 - 14 = 6 = > \frac{1}{c} = \frac{6}{42} [/tex]
[tex]c = \frac{42}{6} = 7[/tex]
Răspuns: a=2 , b=3, c=7
