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Question

A persons 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?

Options:
A .  32 years
B .  36 years
C .  40 years
D .  48 years
Answer: Option C

Let the mother's present age be x years.


Then, the person's present age = \(\left(\frac{2}{5}x\right) years.\)


Therefore  \(\left(\frac{2}{5}x+8\right) = \frac{1}{2}(x+8)\)


 2(2x + 40) = 5(x + 8)


 x = 40.


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