Answer:
Cody is 60 inches tall.
Step-by-step explanation:
Let [tex]h[/tex] be the initial height of Cody and Tyler, then we know that now Cody's height [tex]h_c[/tex] is 20% more than [tex]h[/tex], or
[tex]h_c=1.2h[/tex]
and Tyler's height has increased half as much as the initial height; or
[tex]h_t=1.5h[/tex]
Now Tyler is 4 feet tall; therefore ,
[tex]h=\frac{h_t}{1.2} =\frac{4ft}{1.2} =3.33 feet[/tex]
is the initial height of Cody and Tyler.
Now Cody has grown as half as much as his initial height; therefore:
[tex]h_c=1.5h=1.5(3.33)=5feet[/tex]
[tex]\boxed{h_c=5feet}[/tex]
When converted to inches, this is 60 inches.
Therefore Cody is 60 inches tall.
