Question

4/5 x 3/x x 2/11 = 24/165

x = ?

Answer 1

\(\frac{4}{5}\)x\(\frac{3}{x}\)x\(\frac{2}{11}=\frac{24}{165}\)

\(\Rightarrow\frac{4}{5}\)x\(\frac{3}{x}\)x\(\frac{2}{11}=\frac{8}{55}\)

\(\Rightarrow\frac{4}{5}\)x\(\frac{3}{x}\)= \(\frac{8}{55}\):\(\frac{2}{11}\)

\(\Rightarrow\frac{4}{5}\)x\(\frac{3}{x}\)=\(\frac{4}{5}\)

\(\Rightarrow\frac{3}{x}\)=\(\frac{4}{5}:\frac{4}{5}\)

\(\Rightarrow\frac{3}{x}=1\)

\(\Rightarrow\frac{3}{x}=\frac{3}{3}\)

\(\Rightarrow x=3\)