\(\dfrac{a}{2}=\dfrac{b}{3}\Rightarrow\dfrac{a}{10}=\dfrac{b}{15}\)
\(\dfrac{b}{5}=\dfrac{c}{4}\Rightarrow\dfrac{b}{15}=\dfrac{c}{12}\)
\(\Rightarrow\dfrac{a}{10}=\dfrac{b}{15}=\dfrac{c}{12}\)
Áp dụng tính chất dãy tỉ số bằng nhau ta có:
\(\dfrac{a}{10}=\dfrac{b}{15}=\dfrac{c}{12}=\dfrac{a-b+c}{10-15+12}=\dfrac{21}{7}=3\)
\(\dfrac{a}{10}=3\Rightarrow a=30\\ \dfrac{b}{15}=3\Rightarrow b=45\\ \dfrac{c}{12}=3\Rightarrow c=36\)
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