Answer:
Jack's age is 36
Wade's age is 16
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