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Doua eleve au in colectia lor 84 de servetele .Prima are cu 35 servetele mai mult decat a sasea parte din cate are a doua .Cate servetele are fiecare

Răspuns :

[tex]a - prima \: eleva[/tex]

[tex]b - a \: doua \: eleva[/tex]

[tex]a = \frac{1}{6} \times b + 35[/tex]

[tex]a = \frac{b}{6} + 35[/tex]

[tex]a + b = 84[/tex]

[tex] \frac{b}{6} + 35 + b = 84[/tex]

[tex] \frac{b}{6} + b = 84 - 35[/tex]

[tex] \frac{b}{6} + b = 49 \: | \times 6[/tex]

[tex]b + 6b = 294[/tex]

[tex]7b = 294[/tex]

[tex]b = \frac{294}{7} [/tex]

[tex]b = 42[/tex]

[tex]a = \frac{b}{6} + 35[/tex]

[tex]a = \frac{42}{6} + 35[/tex]

[tex]a = 7 + 35[/tex]

[tex]a = 42[/tex]

[tex] = > a = b = 42[/tex]