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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) 42

B) 40

C) 45

D) 48

Correct Answer:
B) 40

Description for Correct answer:

Let the mother’s age be x

 Let the son’s age be (2/5)x

 After 8 years, he will be one half of the age of his mother

 (x+8)/2 =\( \left[\frac{2}{5}x +8  \right] \)

=>  x + 8 = \( \large\frac{4}{5}x + 16 \)

 5(x+8) =4x+80

 =>5x+40=4x+80

 => 5x-4x = 40

 => x = 40

 So at present mother’s age = 40.


Part of solved TNPSC Question Paper-2015 questions and answers : Exams >> TNPSC >> TNPSC Question Paper-2015




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