Ram's present age is one-third of the age of his father. Five years ago, his age was one-fifth of the age of his father. What are the present ages of Ram and his father?

10 years and 30 years

Let the age of Ram be a

Father's age = 3a

Before 5 years

Ram's age = a - 5

Father's age = 3a - 5

According to question

5(a - 5) = 3a - 5

⇒ 5a - 25 = 3a - 5

⇒ 2a = 20

⇒ a = 10

Ram's age = 10 years

Father's age = 30 years