Four years from now Amina’s age will be three times her daughter’s age. 3 years ago she wasfive times her daughter’s age. Currently what is Amina’s age?

Let's solve the problem step by step:

Let's assume Amina's current age is "A" and her daughter's current age is "D".

According to the given information, four years from now, Amina's age will be three times her daughter's age. So, we can write the equation:

A + 4 = 3(D + 4) ---(1)

Also, three years ago, Amina was five times her daughter's age. So, we can write another equation:

A - 3 = 5(D - 3) ---(2)

Now, we have a system of two equations (equation 1 and equation 2) with two variables (A and D). We can solve this system of equations to find the values of A and D.

Let's solve the system of equations:

From equation (1), we can simplify it as:

A + 4 = 3D + 12 A = 3D + 12 - 4 A = 3D + 8 ---(3)

Now, substitute equation (3) into equation (2):

3D + 8 - 3 = 5(D - 3) 3D + 5 = 5D - 15 3D - 5D = -15 - 5 -2D = -20 D = -20 / -2 D = 10

Now, substitute the value of D into equation (3) to find A:

A = 3(10) + 8 A = 30 + 8 A = 38

Therefore, Amina's current age is 38 years.