The sum of the reciprocals of Rehman’s ages, (in years) 3 years ago and 5 years from now isFind his present age.

Let the present age of Rehman be x years.

Three years ago, his age was (x − 3) years.

Five years hence, his age will be (x + 5) years.

It is given that the sum of the reciprocals of Rehman’s ages 3 years

ago and 5 years from now is .

∴

=

=

= 3(2x+2) = (x-3)(x+5)

= 6x+6 = x² +2x – 15

= x² – 4x -21 = 0

= x² – 7x +3x – 21 = 0

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

= x = 7, -3

However, age cannot be negative.

Therefore, Rehman’s present age is 7 years.