Question

Chia số -106 thành 3 phần tỉ lệ với 0,5; 5/3 ; 9/4

Answer 1

Gọi 3 phần là a,b,c (-106<a,b,c<0)

\(\Rightarrow\dfrac{a}{0,5}=\dfrac{b}{\dfrac{5}{3}}=\dfrac{c}{\dfrac{9}{4}}\Rightarrow\dfrac{a}{\dfrac{1}{2}}=\dfrac{b}{\dfrac{5}{3}}=\dfrac{c}{\dfrac{9}{4}}=\dfrac{a+b+c}{\dfrac{1}{2}+\dfrac{5}{3}+\dfrac{9}{4}}=\dfrac{-106}{\dfrac{53}{12}}=-24\\ \Rightarrow\left\{{}\begin{matrix}a=-24\cdot\dfrac{1}{2}=-12\\b=-24\cdot\dfrac{5}{3}=-40\\c=-24\cdot\dfrac{9}{4}-54\end{matrix}\right.\)

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