\(x+y=55\Rightarrow x=55-y\\ \Leftrightarrow\dfrac{4+55-y}{7+y}=\dfrac{4}{7}\\ \Leftrightarrow28+385-7y=28+4y\\ \Rightarrow y=35\\ \Rightarrow x=55-35=20\)
\(\dfrac{4+x}{7+y}=\dfrac{4}{7}\)
=> \(\dfrac{4}{7}=\dfrac{x}{y}\Leftrightarrow\dfrac{y}{7}=\dfrac{x}{4}\)
Áp dụng tính chất dãy tỉ số bằng nhau ta có :
\(\dfrac{y}{7}=\dfrac{x}{4}=\dfrac{y+x}{7+4}=\dfrac{55}{21}\)
=> y= \(\dfrac{55}{21}.7=\dfrac{55}{3}\)
x=\(\dfrac{55}{21}.4=\dfrac{220}{21}\)
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