Jumoke is 11 years older than Amina. On five years time Jumoke will be twice as old as Amina . find their ages

Let's assume Amina's age is x years.

According to the first statement, Jumoke's age will be x + 11 years.
After five years, Amina's age will be x + 5, and Jumoke's age will be x + 11 + 5 = x + 16.
According to the second statement, Jumoke's age after five years will be twice Amina's age, so we can write the equation:
x + 16 = 2(x + 5)
x + 16 = 2x + 10
16 - 10 = 2x - x
6 = x
Amina's age is x = 6 years.
Jumoke's age is x + 11 = 6 + 11 = 17 years.
Therefore, Amina is 6 years old, and Jumoke is 17 years old.