Question

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

Answer 1

Let Rehman's present age be x years.

As per question, we have

$\frac{1}{x - 3} \ +\ \frac{1}{x + 5} =\frac{1}{3}$

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

⇒ 3x + 15 + 3x - 9 = $x^{2}$ + 2x - 15

⇒ $x^{2}$ - 4x - 21 = 0

⇒ (x - 7)(x + 3) = 0

⇒ x = 7 or -3

∴ x = 7 [Since, age can never be negative]

Thus, Rehman's present age is 7 years.

Answer 2

Answer:

Please refer the attachment dear