if 1/2 years ago adam was 12, and 1/2x years from now he will be 2x years old, how old will he be 3x years from now

If adam is a now, then

a - 1/2 = 12
a = 12 1/2

a + x/2 = 2x
12 1/2 + x/2 = 2x
25 + x = 4x
x = 25/3
check: 25/6 + 25/2 = 25(2/3) = 2 * 25/3

25/2 + 75/3 = 100

oops a+3x = 50

To solve this problem, let's break it down step by step.

First, we need to determine Adam's current age. We know that "1/2 years ago" he was 12, which means he is currently 12 + 1/2 = 12.5 years old.

Next, we need to find out how old Adam will be "1/2x years from now." Let's represent the future age as A since we don't know it yet. According to the given information, A = 2x years old.

Finally, we want to determine Adam's age "3x years from now." To do this, we need to add the current age and the future age: 12.5 + A.

Now, substituting A with 2x, we get:
Age 3x years from now = 12.5 + 2x.

Therefore, Adam will be 12.5 + 2x years old three times as far into the future as he is now.