Question Number 25053 by Sattwik Chakraborty last updated on 02/Dec/17
$${If}\:\mathrm{2}{A}=\mathrm{3}{B}=\mathrm{4}{C}\:{find}\:{the}\:{value}\:{of}\:{A}:{B}:{C} \\ $$
Answered by $@ty@m last updated on 02/Dec/17
$$\mathrm{2}{A}=\mathrm{3}{B} \\ $$$$\Rightarrow{A}:{B}=\mathrm{3}:\mathrm{2}\:\:{or}\:{A}:{B}=\mathrm{6}:\mathrm{4} \\ $$$$\:\:{Similarly}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{B}:{C}=\mathrm{4}:\mathrm{3} \\ $$$$\Rightarrow{A}:{B}:{C}=\mathrm{6}:\mathrm{4}:\mathrm{3} \\ $$
Answered by Rasheed.Sindhi last updated on 03/Dec/17
$$\mathrm{An}\:\mathrm{other}\:\mathrm{method} \\ $$$$\mathrm{Let}\:\mathrm{2}{A}=\mathrm{3}{B}=\mathrm{4}{C}={k} \\ $$$$\:\:\:{A}=\frac{{k}}{\mathrm{2}},\:{B}=\frac{{k}}{\mathrm{3}},{C}=\frac{{k}}{\mathrm{4}} \\ $$$${A}:{B}:{C}=\frac{{k}}{\mathrm{2}}:\frac{{k}}{\mathrm{3}}:\frac{{k}}{\mathrm{4}}=\frac{\mathrm{1}}{\mathrm{2}}:\frac{\mathrm{1}}{\mathrm{3}}:\frac{\mathrm{1}}{\mathrm{4}} \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{12}\right):\frac{\mathrm{1}}{\mathrm{3}}\left(\mathrm{12}\right):\frac{\mathrm{1}}{\mathrm{4}}\left(\mathrm{12}\right) \\ $$$$\:\:\mathrm{6}:\mathrm{4}:\mathrm{3} \\ $$