The sum of reciprocals of rehman's ages 3 years ago and 5 years from now is 1/3. Find his present age

His age is 7 years.

Step-by-step explanation:

Let Rehman's present age be x years.

1 / (x - 3) + 1 / (x + 5) = 1/3

Multiply through by the LCD 3 (x - 3) (x + 5):

3 (x + 5) + 3 (x - 3) = (x + 5) (x - 3)

3x + 15 + 3x - 9 = x^2 + 2x - 15

x^2 + 2x - 6x - 30 + 9 = 0

x^2 - 4x - 21 = 0

(x - 7) (x + 3) = 0

x = 7 (answer).