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?

Answer 1

Let the mother's present age be x years.
Then, the person's present age = years.

2(2x + 40) = 5(x + 8)
x = 40

Answer 2

Hey there!

Let the present age of mother =x

Then the person age is 2/5x


After eight years ages
(i) Son =2/5x+8
(ii) Mother=x+8

According to the problem

➫ 2/5x+8=1/2[x+8]

➫ 40+2x/5=x/2+4

➫ 40+2x=5/2x+20

➫ 40-20=(5/2-2)x

➫ 20=1/2x

➫40=x

Present age of mother =40 years