Karen measured her height as 59 inches that is 27 inches more then half her older sisters height how tall is her older sister

Answer 1

Let's denote Karen's height as \( K \) and her older sister's height as \( S \).

We know that:

1. Karen's height \( K = 59 \) inches.
2. Karen's height is 27 inches more than half her sister's height: \[ K = \frac{S}{2} + 27 \]

Now, substituting Karen's height into the equation: \[ 59 = \frac{S}{2} + 27 \]

To isolate \( \frac{S}{2} \), we can subtract 27 from both sides: \[ 59 - 27 = \frac{S}{2} \] \[ 32 = \frac{S}{2} \]

Now, multiply both sides by 2 to solve for \( S \): \[ S = 32 \times 2 \] \[ S = 64 \]

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