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Daca a/b=3/5 si a+b=16 aflati numerele a si b .

Răspuns :

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[tex]a+b=16|*5 \\ \\ \frac{a}{b}= \frac{3}{5} \Longrightarrow 3b=5a \\ \\ 5a+5b=80 \\ \\ 3b+5b=80 \\ \\ 8b=80 \\ \\ \boxed{b=10} \\ \\ a=16-10 \\ \\ \boxed{a=6}[/tex]
Deva
a/b=3/5
a+b=16
a=16-b
5a=3b
5(16-b)=3b
80-5b=3b
80=3b+5b=8b
b=80:8=10
a=16-10=6

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