Question

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

Answer 1

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

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

Answer 2

a,b = numerele

a + b = -210

$\frac{a}{b} = \frac{1}{6}$
$\frac{a}{1} = \frac{b}{6} = k$

$\frac{a}{1} = k$
a = k

$\frac{b}{6} = k$
b = 6k

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

a = k = -30
b = 6k = 6 · (-30) = -180