Question

Cody and Tyler were once the same height. Since then, Tyler's height has increased by 20%, while Cody has grown half as much. If Tyler is 4 feet tall now, how many inches tall is Cody now?

Answer 1

The correct answer is 44

Answer 2

Cody is 60 inches tall.

Explanation:

Let
`h` be the initial height of Cody and Tyler, then we know that now Cody's height
`h_c` is 20% more than
`h`, or

`h_c=1.2h`

and Tyler's height has increased half as much as the initial height; or

`h_t=1.5h`

Now Tyler is 4 feet tall; therefore ,

`h=(h_t)/(1.2) =(4ft)/(1.2) =3.33 feet`

is the initial height of Cody and Tyler.

Now Cody has grown as half as much as his initial height; therefore:

`h_c=1.5h=1.5(3.33)=5feet`

`\boxed{h_c=5feet}`

When converted to inches, this is 60 inches.

Therefore Cody is 60 inches tall.