Question 882679
Let us call the father's age x. Since the son, is 1/4 of his father's age, we can call the son's age {{{(1/4)x}}}. Since the difference in their ages is 30 years (that is, father's age - son's age = 30), we can say that {{{x - (1/4)x = 30}}}
Now just simplify:
{{{(1)x - (1/4)x = 30}}}
{{{(3/4)x = 30}}}
x = 40
Therefore, the father's age is 40 years, and the son's age is {{{(1/4)40 = 10}}} years.