Question

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PLSS
doua numere direct proportionale cu 2 si 5 , iar suma primului nr si 30% din al 2-lea nr e 14. Aflati numerele.

Answer 1

$\frac{a}{2} = \frac{b}{5}$
5a=2b ⇒ $a= \frac{2b}{5}$
$a+ \frac{30*b}{100} = 14$
$\frac{2b}{5} + \frac{30b}{100} = 14$
$\frac{2b}{5} + \frac{3b}{10} = 14$
$\frac{2b*2}{10} + \frac{3b}{10} = 14$
$\frac{4b+3b}{10} = 14$
$\frac{7b}{10} = 14$
$7b=140 =\ \textgreater \ b= 20$
5a = 2b 
5a = 2*20
a = 8