1/4 of morolake’s age nine years ago is the same as 1/5 of age next year . How old is morolake now.
Morolake is now 18 years old.
Let's work through this step-by-step:
1. Let's assume Morolake's current age is "x" years.
2. Nine years ago, Morolake's age would have been "x - 9" years.
3. One-fourth (1/4) of Morolake's age nine years ago is (1/4)*(x - 9).
4. Next year, Morolake's age will be "x + 1" years.
5. One-fifth (1/5) of Morolake's age next year is (1/5)*(x + 1).
According to the given information, 1/4 of Morolake's age nine years ago is the same as 1/5 of her age next year. So, we can set up the equation:
(1/4)*(x - 9) = (1/5)*(x + 1)
Now, we can solve the equation to find Morolake's current age "x".
Multiplying both sides of the equation by 20 (the least common multiple of 4 and 5) to eliminate the fractions:
20 * (1/4) * (x - 9) = 20 * (1/5) * (x + 1)
5 * (x - 9) = 4 * (x + 1)
5x - 45 = 4x + 4
Subtracting 4x from both sides:
5x - 4x - 45 = 4 - 4x + 4x
x - 45 = 4
Adding 45 to both sides:
x - 45 + 45 = 4 + 45
x = 49
Morolake is currently 49 years old.