Question

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.32 years
B.36 years
C.40 years
D.48 years

Answer 1

option c is correct answer

Answer 2

Answer:

Let the age of mother be x years and the present age of person be y years

So, ATQ

y = 2x/5........ Eq (1)

And 1/2(x+8) = y+8........ Eq(2)

So, by substituting the value of eq (1) in eq (2) we get

1/2(x+8) = 2x/5+8

=> x/2+4 = 2x/5+8

=> x/2-2x/5 = 4

=>5x-4x/10 = 4

=>x = 40

So, present age of mother = 40yrs

And present age if the person = 16yrs

Hope this helps!!!