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?(1 point)
Let x be the height of Karen's older sister.
Karen's height is x/2 + 27.
Therefore, x/2 + 27 = 59.
Thus, x/2 = 59 - 27 = 32.
Then, x = 32 * 2 = <<32*2=64>>64 inches.
The older sister is 64 inches tall. Answer: \boxed{64}.
Let's break down the given information step-by-step:
1. Karen's height is measured as 59 inches.
2. It is stated that Karen's height is 27 inches more than half her older sister's height.
To find the height of Karen's older sister, we can set up an equation:
Karen's height = (1/2) * Older sister's height + 27
Now we can solve the equation for the older sister's height.
Substituting the given values into the equation:
59 = (1/2) * Older sister's height + 27
To isolate the older sister's height, we first subtract 27 from both sides:
59 - 27 = (1/2) * Older sister's height
Simplifying:
32 = (1/2) * Older sister's height
Next, we multiply both sides of the equation by 2 to eliminate the fraction:
2 * 32 = 2 * (1/2) * Older sister's height
64 = Older sister's height
So, Karen's older sister's height is 64 inches.
To find out how tall Karen's older sister is, we need to solve the equation that represents the given information.
Let's assume Karen's older sister's height is X inches.
According to the information provided, Karen's height is 27 inches more than half of her older sister's height.
Half of her older sister's height is X/2 inches, and since Karen's height is 27 inches more than that, we can write the equation as:
Karen's height = (X/2) + 27
Since we are given that Karen's height is 59 inches, we can substitute this value into the equation:
59 = (X/2) + 27
To solve for X, we can simplify the equation by subtracting 27 from both sides:
59 - 27 = (X/2)
32 = X/2
To isolate X, we can multiply both sides of the equation by 2:
2 * 32 = X
64 = X
Therefore, Karen's older sister is 64 inches tall.