6 years ago jack was three times older then wade. In four years wade will be half as old as jack. How old are they now?

Jack's age is 36

Wade's age is 16

Step-by-step explanation:

Let jack's age be "j"

and

Wade's age be "w"

First, we have:

6 yrs AGO, Jack was 3 times as Wade, so we can write:

j-6 = 3 (w-6)

Then, we have:

4 yrs from NOW, Wade will be HALF as Jack, so we can write:

w+4 = 0.5 (j+4)

Lets simplify the first equation:

j-6 = 3 (w-6)

j - 6 = 3w - 18

Solving for j:

j = 3w - 18 + 6

j = 3w - 12

Now, simplifying the second equation:

w+4 = 0.5 (j+4)

w+4 = 0.5j+2

w = 0.5j - 2

Now we replace this equation with j's expression we found from first equation:

w = 0.5j - 2

w = 0.5 (3w - 12) - 2

w = 1.5w - 6 - 2

0.5w = 8

w = 16

Now, finding j:

j = 3w - 12

j = 3 (16) - 12

j = 36

So,

Jack's age is 36

Wade's age is 16