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Sa se afle numetele naturale a,b,c, dacă: a×b=1875,a×c=3125,b+c=200.

Răspuns :

[tex]a = \frac{1875}{b} = > b = \frac{1875}{a} [/tex]

[tex]a = \frac{3125}{c} = > c = \frac{3125}{a} [/tex]

[tex] = > \frac{1875}{a} + \frac{3125}{a} = 200[/tex]

[tex] \frac{1875 + 3125}{a} = \frac{200}{1} [/tex]

[tex]a = \frac{1875 + 3125}{200} [/tex]

[tex]a = \frac{4000}{200} [/tex]

[tex]a = 20[/tex]

[tex]b = \frac{1875}{20} = 93.75[/tex]

[tex]c = \frac{3125}{20} = 156.25[/tex]

[tex]sper \: ca \: te - am \: ajutat[/tex]