Question

if a:b =4:5 and b:c=6:7 find the ratio of a:b:c

Answer 1

$$\begin{gathered} \mathrm{Given},\frac{\mathrm{a}}{\mathrm{b}}=\frac{4}{5}\mathrm{and}\frac{\mathrm{b}}{\mathrm{c}}=\frac{6}{7} \\ \mathrm{Now}, \\ \frac{\mathrm{a}}{\mathrm{b}}=\frac{4}{5}\times \frac{6}{6}=\frac{24}{30} \\ \Rightarrow \mathrm{a}:\mathrm{b}=24:30 \\ \frac{\mathrm{b}}{\mathrm{c}}=\frac{6}{7}\times \frac{5}{5}=\frac{30}{35} \\ \Rightarrow \mathrm{b}:\mathrm{c}=30:35 \\ \mathrm{Thus}, \\ \mathbf{a}\mathbf{:}\mathbf{b}\mathbf{:}\mathbf{c}\mathbf{=}\mathbf{24}\mathbf{:}\mathbf{30}\mathbf{:}\mathbf{35} \end{gathered}$$