A person's present age is two-fifth of the age of his mother. After 8 years , he will be one- half of the age of his mother . How old is the mother at present ?

A person's present age is two-fifth of the age of his mother. After 8 years , he will be one- half of the age of his mother . How old is the mother at present ? Correct Answer 40 years

Let, the present age of the mother = x years " " " " person = 2x5"ATQ, x + 82 = (2x5 + 8)⇒x + 8 = 2(2x5 + 8)⇒x + 8 = 4x5 + 16⇒x + 8 = 4x + 805⇒5x  + 40  = 4x  + 80⇒5x  - 4x = 80 -  40.'. x  = 40 
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