Question 347931
Son's age is x.
Dad's age would be 3x+10 because he is 10 years older than 3 times the son's age.
The total age is 58.

Therefore:  x+3x+10=58
              4x+10=58  (add x+3x)
                4x=48    (subtract 10 from each side)
                  x=12   (divide each side by 4)

Therefore the son is 12 years old.  The dad is 46 years old.  The difference in their ages is 34.