Mimie is twelve years older than her brother Macky. Four years from now, Macky will be two-thirds as old as Mimie will be four years from now. How old are they now?

NOw:

Macky --- x
Mimie --- x+12

4 years from now:
Macky --- x+4
Mimie --- x + 16

x + 4 = (2/3)(x+16)
times 3
3x + 12 = 2(x+16)
3x + 12 = 2x + 32
x = 20

Now, Macky is 20 and Mimie is 32

check:
4 years from now, Macky will be 24 and Mimie will be 36
Is 24 equal to 2/3 of 36 ??
YES

Let's start by assigning variables to their current ages.

Let:
- Mimie's current age be M
- Macky's current age be K

Based on the given information, we can create two equations:

1) Mimie is twelve years older than Macky: M = K + 12

2) Four years from now, Macky will be two-thirds as old as Mimie will be four years from now: K + 4 = (2/3)(M + 4)

Now, let's solve the equations to find their current ages.

Substituting the value of M from equation 1 into equation 2:

K + 4 = (2/3)(K + 12 + 4)

Multiplying through by 3 to eliminate the fraction:

3(K + 4) = 2(K + 16)

Expanding:

3K + 12 = 2K + 32

Simplifying:

K = 32 - 12

K = 20

Now, substitute the value of K into equation 1 to find Mimie's current age:

M = K + 12
M = 20 + 12
M = 32

Therefore, Mimie is currently 32 years old and Macky is currently 20 years old.

To solve this problem, we can set up equations based on the given information and solve for the ages of Mimie and Macky.

Let's assume Macky's current age as "M" and Mimie's current age as "Mi."

According to the problem, "Mimie is twelve years older than her brother Macky," can be written as:

Mi = M + 12

Furthermore, it is mentioned that "Four years from now, Macky will be two-thirds as old as Mimie will be four years from now." We can write this as an equation:

(M + 4) * (2/3) = (Mi + 4)

Now, we can substitute Mi with (M + 12) in the above equation:

(M + 4) * (2/3) = (M + 12 + 4)

Simplifying this equation:

(2/3)(M + 4) = M + 16

Multiply through by 3 to eliminate the fraction:

2(M + 4) = 3(M + 16)

2M + 8 = 3M + 48

Group like terms:

2M - 3M = 48 - 8

-M = 40

Multiply by -1 to solve for M:

M = -40

Since it is not possible for someone's age to be negative, there must be an error or inconsistency in the given information. Please check the problem statement again for accuracy.