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Determinati numerele naturale pozitive a,b,c siind ca:
a supra 3=b supra 5=c supra 7
si 2a+b-c=36
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DAU COROANA!!!


Răspuns :


[tex] \frac{a}{3} = \frac{b}{5} = \frac{c}{7} = k[/tex]
[tex] \frac{a}{3} = k = > a = 3k[/tex]
[tex] \frac{b}{5} = k = > b = 5k[/tex]
[tex] \frac{c}{7} = k = > c = 7k[/tex]
2×3k+5k- 7k=36
6k+3k-7k=36
2k=36
k=18
a=3×18=54
b=5×18=90
c=7×18=125