Answer:
If Shea is 60 inches tall, and Ara and Shea were once the same height, then initially Ara was also 60 inches tall.
Since Ara has grown 20% since then, we can calculate her current height by multiplying her initial height by 1.2 (which is equivalent to adding 20% to her initial height). Therefore, Ara's current height in inches is:
Ara's current height = 60 inches x 1.2 = 72 inches
Now we need to find out how much Sheila has grown since they were the same height. We know that Sheila is currently 60 inches tall, but we don't know her initial height. Let's call her initial height "S".
We are told that Aria has grown half as many inches as Sheila, so we can write:
Aria's growth = 0.5 x (Sheila's current height - Sheila's initial height)
We know that Sheila's current height is 60 inches, so we can substitute that into the equation above and simplify it:
Aria's growth = 0.5 x (60 - Sheila's initial height)
Aria's growth = 30 - 0.5 x Sheila's initial height
Aria's growth = 30 - 0.5S
We don't know the exact value of Sheila's initial height, but we know that initially, Ara and Sheila were the same height. Therefore, Sheila's initial height was also 60 inches. Substituting this value into the equation above, we get:
Aria's growth = 30 - 0.5 x 60 = 0
This means that Aria has not grown at all since they were the same height. Therefore, Aria's current height is still 60 inches.
So, the final answer is that Ara is now 72 inches tall, while Aria is still 60 inches tall.
Explanation: