Karen measured her height as 59 inches. That is 27 inches more than half her older sister’s height. How tall is her older sister?

Let x be Karen's older sister's height in inches.

Karen's height is (x/2) + 27 inches.
Therefore, 59 = (x/2) + 27.
Subtracting 27 from both sides, we get 32 = x/2.
Multiplying both sides by 2, we get 64 = x.
Therefore, Karen's older sister is 64 inches tall. Answer: \boxed{64}.

To find the height of Karen's older sister, we need to subtract 27 inches from Karen's height and then multiply the result by 2.

Let's denote Karen's older sister's height as "S".

According to the given information, Karen's height is 59 inches, which is 27 inches more than half her older sister's height:

59 inches = (1/2)S + 27 inches

To find S, we need to isolate it on one side of the equation. So let's solve for S:

(1/2)S = 59 inches - 27 inches
(1/2)S = 32 inches

To remove the fraction, we multiply both sides of the equation by 2:

2 * (1/2)S = 2 * 32 inches
S = 64 inches

Therefore, Karen's older sister is 64 inches tall.

To find out Karen's older sister's height, we need to first determine half of her height and then subtract 27 inches from it.

Let's go step by step:
1. We know that Karen's height is 59 inches.
2. We need to find half of her older sister's height. We can represent her sister's height as 'S'. So, half of her sister's height is S/2.
3. We're given that Karen's height is 27 inches more than half her sister's height. Therefore, we can write the equation as: 59 = (S/2) + 27.

Now, let's solve the equation to find the value of S, which represents her older sister's height.

To isolate S, let's first subtract 27 from both sides of the equation:
59 - 27 = (S/2) + 27 - 27
32 = S/2

Next, to solve for S, we multiply both sides of the equation by 2:
2 * 32 = 2 * (S/2)
64 = S

Therefore, Karen's older sister's height is 64 inches.