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Yodenisa9
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daca a\b=3\5 si a+b=16, aflati numerele a si b

Răspuns :

Miky93
[tex]\frac{a}{b}=\frac{3}{5} \\\\\frac{a}{3}=\frac{b}{5}=k \\\\ a=3k\\ b=5k \\\\ a+b=16 \\\\ 3k+5k=16 \\\\ 8k=16 \ |:8 \\\\ \boxed{k=2} \\\\ a=3*2 \\\\ \boxed{\boxed{a=6}} \\\\ b=5*2 \\\\ \boxed{\boxed{b=10}}[/tex]
Din a / b  = 3 / 5 faci produsul mezilor egal cu cel al extremilor => 5a = 3b si din a + b = 16 => a = b - 16 deci... 5 ( b - 16 ) = 3b  => 80 - 5b =3b => 8b = 80 deci b = 10 iar a + 10 = 16 deci a = 6.

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