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 . What is the present age of the mother?

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 . What is the present age of the mother? Correct Answer 40

Suppose, mother's age is x, hence person's age is 2x5After 8 years, mother's age will be x + 8 and person's age will be 2x5+8=2x+405According to question,x+8=2x+405×2⇒x+8=4x+805⇒5x+40=4x+80⇒5x-4x=80-40∴x=40Hence, mother's present age is 40 
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