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.
Karen's height = 27 + (x/2)
59 = 27 + (x/2)
32 = x/2
x = 64 inches
Karen's older sister's height is 64 inches. Answer: \boxed{64}.
Let's break down the information given:
Karen's height = 59 inches
Karen's height is 27 inches more than half her older sister's height.
Let's represent Karen's older sister's height as "x".
According to the second statement, Karen's height is 27 inches more than half her older sister's height.
So we can write this as an equation:
Karen's height = (1/2) * x + 27
Given that Karen's height is 59 inches, we can substitute this value into the equation:
59 = (1/2) * x + 27
Next, let's solve the equation for x to find Karen's older sister's height:
59 - 27 = (1/2) * x
32 = (1/2) * x
To solve for x, we multiply both sides of the equation by 2:
2 * 32 = x
64 = x
Therefore, Karen's older sister's height is 64 inches.
To find Karen's older sister's height, we need to first determine the meaning of "half her older sister's height" in the given context.
Let's assume Karen's older sister's height is represented by the variable "S".
According to the problem, Karen's height is 59 inches, and that is 27 inches more than half her older sister's height.
So, we can write the equation to represent the given information as follows:
Karen's height = Half her older sister's height + 27 inches
59 inches = 0.5S + 27 inches
To solve this equation, we need to isolate the variable "S" on one side of the equation.
Subtracting 27 inches from both sides of the equation, we get:
59 inches - 27 inches = 0.5S
32 inches = 0.5S
To eliminate the fraction, we can multiply both sides of the equation by 2:
2 * 32 inches = 2 * 0.5S
64 inches = S
Therefore, Karen's older sister's height is 64 inches.