Question

Raja's age is one-fifth of his father's age. After $6$ years, his age will be one-third his father's age. How old are they now?

Answer 1

Let the age of Raja be a

Father's age = 5a

After 6 years

Raja's age = a+6

Father's age = 5a + 6

According to question

3(a + 6) = 5a + 6

$\Rightarrow$ 3a + 18 = 5a + 6

$\Rightarrow$ 18 - 6 = 5a - 3a

$\Rightarrow$ 2a = 12

$\Rightarrow$ a = 6

Raja's age = 6 years

Father's age = 30 years