The sum of reciprocals of Rehman’s ages (in years) 3 years ago and 5 years from now is 13. Find his present age.

Let present age of Rehman = x years

Age of Rehman 3 years ago = (x − 3) years.

Age of Rehman after 5 years = (x + 5) years

According to the given condition:

It is given that the sum of the reciprocals of Rehman's ages 3 years ago and 5 years from now is 1/3.

⇒ 3 (2x + 2) = (x − 3) (x + 5)

⇒ 6x + 6 = x² + 2x - 15

⇒x² - 4x -21 = 0

⇒ x(x - 7) + 3(x - 7) = 0

⇒ (x - 7)(x + 3) = 0

⇒ x = 7, -3

However, age cannot be negative.

Therefore, Rehman's present age is 7 years.