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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 mother's present age be x years. Then, the person's present age = 2/5 x years. ∴25x + 8 = 12x + 8⇒22x + 40 = 5x + 8⇒x = 40

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