Rebecca R. answered 02/09/19
Experienced Elementary Math, Prealgebra, Algebra 1, and Geometry Tutor
Hello.
Ok, Let's call Mike's age (M).
His father is 3 times as old as he is:
Father = 3M
The difference of their ages is 38.
Therefore,
3M - M = 38
2M = 38
M = 19
Mike is 19 years old
Mike's father is 3M = 57 years old
Now, check the answer:
Father = 3M = 3 x 19 = 57
57 - 19 = 38
Therefore, the answer is correct.