Question

in one day, annie traveled 5 times the sum if the number of hours brian traveled and 2. Together they traveled 20 hours. Find the number of hours eacg person traveled.

Answer 1

$\bf \textit{Annie travelled 5 times the hours of Brian}\\ \textit{the hours of both sum up to \underline{20}} \\\\\\ \begin{cases} b=\textit{hours Brian travelled}\\ a=\textit{hours Annie travelled}\\ ----------\\ \boxed{a}=5b\\ a+b=\underline{20} \end{cases} \\\\\\ \boxed{5b}+b=20\implies 6b=20\implies b=\cfrac{20}{5}\implies b=4$

how many hours Annie travelled?  Well, a = 5b.