arithmetic - sudhakars present age is twofifth of the age of his mother after 8 years he will be onehalf of the age of his mother what is the present age of the mother - skillgun

Let the present age of Sudhakar = x .
Then present age of the mother = 5x/2
Given that , after 8 years, Sudhakar will be one-half of the age of his mother.
=> (x + 8) = (1/2)(5x/2 + 8)
=> 2x + 16 = 5x/2 + 8
=> x/2 = 8
=> x = 16
Present age of the mother = 5x/2 = 5×16/2 = 40