Theresa has two brothers,Paul and Steve, who are both the same height. Paul says he is 16 inches shorter than 1 1/2 times Theresa's height. Steve says he's 6 inches shorter than 1 1/3 times Theresa's height. If they're both right, how tall is Theresa ?

Answer:Theresa's height is 60 inchesStep-by-step explanation:The given parameters are;The height of Paul = The height of StevePaul's height = [tex]1\dfrac{1}{2}[/tex] times Theresa's height - 16 inches Steve's height = [tex]1\dfrac{1}{3}[/tex] times Theresa's height - 6 inchesLet 'T' represents Theresa's height, we have;Paul's height = [tex]1\dfrac{1}{2}[/tex] ×T - 16Steve's height = [tex]1\dfrac{1}{3}[/tex] ×T - 6Paul's height = Steve's heightTherefore;[tex]1\dfrac{1}{2}[/tex] ×T - 16 = [tex]1\dfrac{1}{3}[/tex] ×T - 6[tex]1\dfrac{1}{2}[/tex] ×T - [tex]1\dfrac{1}{3}[/tex] ×T = 10[tex]#\dfrac{3}{2}[/tex] ×T - [tex]\dfrac{4}{3}[/tex] ×T = 10[tex]\dfrac{1}{6}[/tex] ×T = 10T = 10 × 6 = 60Theresa's height, T = 60 inches