John’s age in 5 years time will be the same as jack’s age is now. in two years, jack will be twice as old as john. how old are they now?

Let's say John's age is x and Jack's age is y

(1) x + 5 = y
(2) y + 2 = 2(x + 2)

Now if we substitute equation (1) into equation (2) we get:

x + 5 + 2 = 2(x + 2)
x + 7 = 2x + 4
x = 3

If x = 3, then from equation (1) we get:
3 + 5 = y
y = 8

Therefor John is 3 years old and Jack is 8 years old