Let's denote Maren's older sister's height as \( x \) inches. According to the information given:
Maren's height = 59 inches
Half of her sister's height = \( \frac{x}{2} \)
The problem states that 59 inches is 27 inches more than half of her sister's height. We can set up an equation as follows:
\[ 59 = \frac{x}{2} + 27 \]
Now, we can solve for \( x \):
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Subtract 27 from both sides: \[ 59 - 27 = \frac{x}{2} \] \[ 32 = \frac{x}{2} \]
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Multiply both sides by 2 to solve for \( x \): \[ x = 32 \times 2 \] \[ x = 64 \]
So, Maren's older sister is 64 inches tall. If you are asking for her age, we do not have enough information to deduce that from her height alone.