Question Number 44026 by SNILL JAMES last updated on 20/Sep/18
$${ifA}:{B}=\mathrm{3}:\mathrm{6}\:{and}\:{B}:{C}\:=\:\mathrm{7}:\mathrm{8} \\ $$$${find}\:{A}:{B}:{C} \\ $$$${solution} \\ $$$${since}\:{B}\:{is}\:{common}\:{then} \\ $$$$\left.{A}:{B}\:=\mathrm{3}:\mathrm{6}\right\}\mathrm{7} \\ $$$$\left.{B}:{C}=\mathrm{7}:\mathrm{8}\right\}\mathrm{6} \\ $$$${A}:{B}=\mathrm{21}:\mathrm{42} \\ $$$${B}:{C}=\mathrm{42}:\mathrm{48} \\ $$$$\:\:\:\:\:\:\:\:\therefore\:\:\:{A}\::{B}:{C}\:=\mathrm{21}:\mathrm{42}:\mathrm{48} \\ $$$${by}\:{Snill}\:{James} \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$
Commented by tanmay.chaudhury50@gmail.com last updated on 20/Sep/18
$$\mathrm{21}:\mathrm{42}:\mathrm{48} \\ $$$$\mathrm{7}:\mathrm{14}:\mathrm{16}\:\:\:\left({obtained}\:{by}\:{deviding}\:{by}\:\mathrm{3}\right) \\ $$