Bài 1:
Áp dụng t/c dtsbn:
a) \(\dfrac{x}{7}=\dfrac{y}{4}=\dfrac{x-y}{7-4}=\dfrac{24}{3}=8\)
\(\Rightarrow\left\{{}\begin{matrix}x=8.7=56\\y=8.4=32\end{matrix}\right.\)
b) \(\dfrac{x}{6}=\dfrac{y}{2}=\dfrac{z}{5}=\dfrac{x-y+z}{6-2+5}=\dfrac{18}{9}=2\)
\(\Rightarrow\left\{{}\begin{matrix}x=2.6=12\\y=2.2=4\\z=2.5=10\end{matrix}\right.\)
Bài 2:
Gọi số HS 3 lớp 7A,7B,7C lần lượt là a,b,c(học sinh), \(\left(a,b,c>0\right)\)
Áp dụng t/c dtsbn:
\(\dfrac{a}{5}=\dfrac{b}{6}=\dfrac{c}{7}=\dfrac{a+b+c}{5+6+7}=\dfrac{126}{18}=7\)
\(\Rightarrow\left\{{}\begin{matrix}a=7.5=35\\b=7.6=42\\c=7.7=49\end{matrix}\right.\)