Question

Cho 4 số a; b; c; d thỏa mẵn a/b = 2/3; b/c = 4/5; c/d = 6/7. Khi đó a:b:c:d là

Answer 1

Giải:
Ta có: \(\frac{a}{b}=\frac{2}{3}\Rightarrow\frac{a}{2}=\frac{b}{3}\Rightarrow\frac{a}{16}=\frac{b}{24}\)

\(\frac{b}{c}=\frac{4}{5}\Rightarrow\frac{b}{4}=\frac{c}{5}\Rightarrow\frac{b}{24}=\frac{c}{30}\)

\(\frac{c}{d}=\frac{6}{7}\Rightarrow\frac{c}{6}=\frac{d}{7}\Rightarrow\frac{c}{30}=\frac{d}{35}\)

\(\Rightarrow\frac{a}{16}=\frac{b}{24}=\frac{c}{30}=\frac{d}{35}\)

\(\Rightarrow a:b:c:d\) là \(16:24:30:35\)

Vậy \(a:b:c:d\) là \(16:24:30:35\)