Let's denote Morolake's current age as \( x \).
According to the problem, we know that:
\[ \frac{1}{4} \text{ of her age nine years ago} = \frac{1}{5} \text{ of her age next year} \]
First, we express Morolake's age nine years ago and next year in terms of \( x \):
- Her age nine years ago: \( x - 9 \)
- Her age next year: \( x + 1 \)
Now we can set up the equation based on the information given:
\[ \frac{1}{4}(x - 9) = \frac{1}{5}(x + 1) \]
To eliminate the fractions, we can multiply both sides of the equation by 20 (which is the least common multiple of 4 and 5):
\[ 20 \cdot \frac{1}{4}(x - 9) = 20 \cdot \frac{1}{5}(x + 1) \]
This simplifies to:
\[ 5(x - 9) = 4(x + 1) \]
Now, we'll distribute on both sides:
\[ 5x - 45 = 4x + 4 \]
Next, we can isolate \( x \) by subtracting \( 4x \) from both sides:
\[ 5x - 4x - 45 = 4 \]
This simplifies to:
\[ x - 45 = 4 \]
Now, add 45 to both sides:
\[ x = 49 \]
Thus, Morolake's current age is:
\[ \boxed{49} \]
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