Question

Find ST if S is between R and T, and SR = 2x+7, ST= x-6 and RT = 100;

I don’t know if this is a trick question or not.

Answer 1

$\bf \underset{\leftarrow ~~~~\textit{\Large 100}~~~~\to }{\stackrel{2x+7}{\boxed{R}\rule[0.35em]{7em}{0.25pt}} S\stackrel{x-6}{\rule[0.35em]{16em}{0.25pt}\boxed{T}}} \\\\\\ RT = SR + ST\implies 100 = (2x + 7)+(x-6)\implies 100=3x+1 \\\\\\ 99 = 3x\implies \cfrac{99}{3}=x\implies 33=x~\hfill \stackrel{ST~\hfill ST}{x-6\implies 33-6\implies 27}$