Grandpa Burk is 52 years older than his grandson. In five years Grandpa Burk will be four Times as old as his grandson is now.

12 1/3 years

Step-by-step explanation:

Let

x = his son's age

Grandpa Burk's age = 52 + x

In five years Grandpa Burk will be four Times as old as his grandson is now.

his son's age = 4(x + 5)

Grandpa Burk's age = 52 + x + 5

= x + 57

4(x + 5) = x + 57

4x + 20 = x + 57

4x - x = 57 - 20

3x = 37

x = 37 / 3

= 12 1/3 years

His son's age will be 12 1/3 years