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doua numere rationale au suma -210 si raportul 1 supra 6. Determinati cele doua numere.

Răspuns :

a+b=-210
a/b=1/6
6a=b

a+6a=-210
7a=-210
a=-30
b=6a=> b=6*(-30)
b=-180
a,b = numerele

a + b = -210

[tex] \frac{a}{b} = \frac{1}{6} [/tex]
[tex] \frac{a}{1} = \frac{b}{6} = k[/tex]

[tex] \frac{a}{1} = k[/tex]
a = k

[tex] \frac{b}{6} = k[/tex]
b = 6k

k + 6k = -210
7k = -210
k = -210 : 7
k = -30

a = k = -30
b = 6k = 6 · (-30) = -180