1/4 of morolake's age nine years ago is the same as 1/5 of her age next year. How old is morolake now?
Let's represent Morolake's age now as "x".
Nine years ago, Morolake's age was (x - 9).
1/4 of Morolake's age nine years ago is (1/4)(x - 9).
Next year, Morolake's age will be (x + 1).
1/5 of Morolake's age next year is (1/5)(x + 1).
According to the problem, (1/4)(x - 9) = (1/5)(x + 1).
To simplify the equation, we can cross multiply:
5(x - 9) = 4(x + 1)
5x - 45 = 4x + 4
5x - 4x = 4 + 45
x = 49
Morolake is 49 years old now. Answer: \boxed{49}.