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?

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50 Years

45 Years

30 Years

35 Years

answer is C.

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Detailed Solution

Let the age of Raja be

,
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
=> 3a + 18 = 5a +6
=> 18-6 = 5a - 3a
=> 2a = 12
=> a = 6
Raja's age = 6 years
Father's age = 30 years

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