SOLUTION: a son is 1/4 of his fathers age the difference in their ages is 30 years what is the fathers age?

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Question 882679: a son is 1/4 of his fathers age the difference in their ages is 30 years what is the fathers age?
Answer by Leaf W.(135) About Me  (Show Source):
You can put this solution on YOUR website!
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 %281%2F4%29x. Since the difference in their ages is 30 years (that is, father's age - son's age = 30), we can say that x+-+%281%2F4%29x+=+30
Now just simplify:
%281%29x+-+%281%2F4%29x+=+30
%283%2F4%29x+=+30
x = 40
Therefore, the father's age is 40 years, and the son's age is %281%2F4%2940+=+10 years.