Question

sa se afle numerele a,b,c stiind a multimile {a;b;c}si{7;8;10} sunt direct poroportionale si a+b=45

Answer 1

Răspuns

Explicație pas cu pas:

$\{a,b,c\}~direct~proportional~\{7,8,10\}\Rightarrow \dfrac{a}{7}=\dfrac{b}{8}=\dfrac{c}{10}=k\Rightarrow a=7k,b=8k,\\ c=10k .\\a+b=45\\7k+8k=45\\15k=45\\\boxed{\bold{k=3}}\\a=7k\Rightarrow \boxed{a=21}\\b=8k\Rightarrow \boxed{b=24}\\c=10k\Rightarrow \boxed{c=30}$