Ama is 4 times as old as akua.in 10 years time,Ama will be twice as old as Akua. Find their ages

Let Ama's age be A and Akua's age be K.

Given that Ama is 4 times as old as Akua:
A = 4K

In 10 years time, Ama will be twice as old as Akua:
A + 10 = 2(K + 10)

Substitute A = 4K into the second equation:
4K + 10 = 2(K + 10)
4K + 10 = 2K + 20
4K - 2K = 20 - 10
2K = 10
K = 5

Substitute K = 5 into A = 4K:
A = 4(5)
A = 20

Therefore, Ama is 20 years old and Akua is 5 years old.