Gọi `4` số lần lượt đó là `a,b,c,d`
`=>`$\begin{cases}a : b=2:3 \\ b : c =4:5\\c:d =6:7\\a-b-c-d=133\end{cases}$
`=>`$\begin{cases}\dfrac{a}{2}=\dfrac{b}{3} ⇒ \dfrac{a}{16}=\dfrac{b}{24}\\\dfrac{b}{4}=\dfrac{c}{5} ⇒ \dfrac{b}{6}=\dfrac{c}{30}\\\dfrac{c}{6}=\dfrac{d}{7} ⇒ \dfrac{c}{30}=\dfrac{d}{35}\\a-b-c-d=133\end{cases}$
`⇒ a/16 = b/24 = c/30 = d/35 = (a - b - c - d)/(16 - 24 - 30 - 35) = 133/(-73)`
`=>`$\begin{cases}a=-\dfrac{133}{73} .16 =-\dfrac{2128}{73}\\b=-\dfrac{133}{73}.24 =-\dfrac{3129}{73}\\c=-\dfrac{133}{73}.30 =-\dfrac{3990}{73}\\d=-\dfrac{133}{73}.35 =-\dfrac{4655}{73}\end{cases}$
Vậy `a = -2128/73 ; b = -3129/73 ; c = -3990/73 ; d = -4655/73`
