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

Person=2/5 of mother

Person / mother =2/5

After 8 years

Person/ mother =2x+8/5x+8

And a/c to question

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

4x+32=5x+8

X=24

Present age of mother =5x=5*24=120

Answer 2

Answer:

Let the mother age be x years.

Then, the persons present age will be 2/5 x years.

According to Question now,

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

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

x = 40 years