Question

the sum of reciprocal of rahman's age in years 3 years ago and 5 years from now is 1 upon 3 find his present age ​

Answer 1

Let Rehman’s age be = x

Age of Rehman 3yrs. Ago = x-3

Age of Rehman 5 yrs. after = x+5

And then follows.....

Answer 2

Answer:

Rahman's age is 7 years

Step-by-step explanation:

Let Rehman's present age = x years

Rehman's age 3 years ago  = x - 3 years

Five years from now  = x + 5 years

According to question

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

$\frac{2x + 2}{x^{2} + 2x - 15} = \frac{1}{3}$

${6x + 6} = x^{2} + 2x - 15\\x^{2} - 4x - 21 = 0$

$x^{2} - 7x + 3x - 21 = 0\\x(x - 7) + 3(x - 7) = 0$

$(x - 7)(x + 3) = 0\\x = 7$             or $x = -3$

Since age cannot be negative,                      

Rejecting negative value

Hence Rehman's age =7 Yrs

HOPE IT HELPS