Donna is 12 years younger than her brother. in 2 years she will be 14 years more than as half as her brother .how old is each now

To solve this problem, we can set up equations based on the given information. Let's assign variables to the ages of Donna and her brother.

Let D represent Donna's current age.
Let B represent her brother's current age.

According to the first statement, Donna is 12 years younger than her brother, so we can write the equation:
D = B - 12

The second statement says that in 2 years, Donna will be 14 years more than half her brother's age. In simpler terms, we can write this as:
(D + 2) = (B + 2)/2 + 14

Now we have a system of two equations:
1) D = B - 12
2) (D + 2) = (B + 2)/2 + 14

We can solve this system of equations to find the values of D (Donna's age) and B (brother's age).

Substituting the value of D from the first equation into the second equation, we get:
(B - 12 + 2) = (B + 2)/2 + 14
(B - 10) = (B + 2)/2 + 14

Next, we can multiply the entire equation by 2 to eliminate the fraction:
2(B - 10) = 2[(B + 2)/2] + 2(14)
2B - 20 = B + 2 + 28

Simplifying further, we have:
2B - 20 = B + 30

To isolate the variable B, we subtract B from both sides:
2B - B = 30 + 20
B = 50

Now that we know Brother's age (B), we can substitute this value back into the first equation to find Donna's age (D):
D = B - 12
D = 50 - 12
D = 38

Therefore, Donna is currently 38 years old, and her brother is currently 50 years old.

d = b-12

In two years,
(d+2) = 14 + (b+2)/2

d+2 = 14 + (d+14)/2
d/2 = 19
d = 38

So, Donna is 38, brother is 50
In 2 years, 40 = 52/2 + 14