Question Number 171152 by Mastermind last updated on 08/Jun/22
$${The}\:{average}\:{ages}\:{of}\:{three}\:{person}\:{is} \\ $$$$\mathrm{27}\:{years}.\:{Their}\:{ages}\:{are}\:{in}\:{the}\:{propor} \\ $$$${tion}\:{of}\:\mathrm{1}:\mathrm{3}:\mathrm{5}.\:{What}\:{is}\:{the}\:{age}\:{in}\:{years} \\ $$$${of}\:{the}\:{youngest}\:{one}\:{among}\:{them}? \\ $$$$ \\ $$$${Mastermind} \\ $$
Answered by Rasheed.Sindhi last updated on 08/Jun/22
$${ages}:\:\:{x}\:,\:\mathrm{3}{x}\:,\:\mathrm{5}{x} \\ $$$${Average}=\frac{{x}+\mathrm{3}{x}+\mathrm{5}{x}}{\mathrm{3}}=\mathrm{27}\Rightarrow{x}=\mathrm{9} \\ $$$$\mathcal{T}{he}\:{age}\:{of}\:{the}\:{youngest}={x}=\mathrm{9}\: \\ $$