Question

If A : B = 5 : 8 and B : C = 16 : 25, find A : C.

Answer 1

$$\begin{gathered} \frac{A}{B}=\frac{5}{8}\mathrm{and}\frac{B}{C}=\frac{16}{25} \\ \mathrm{Now},\mathrm{we}\mathrm{have}:\frac{A}{B}\times \frac{B}{C}=\frac{5}{8}\times \frac{16}{25}\Rightarrow \frac{A}{C}=\frac{2}{5} \end{gathered}$$

∴ A : C = 2 : 5