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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?

32 years
36 years
40 years
48 years

Correct Answer: 40 years

Explanation:

Let the mother's present age be x years.

Then, the person's present age =	❨	2	x	❩	years.
		5

∴	❨	2	x + 8	❩	=	1	(x + 8)
		5				2

⟹ 2(2x + 40) = 5(x + 8)

⟹ x = 40.

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