Question

the sum of reciprocal of rehman age , 3 years ago and 5 years from now is 1/3 find present age.​

Answer 1

Answer:

let the rehman's age be x

therfore Five years from now means x + 5

& three years ago means x - 3

Now sum of their reciprocal is 3

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

x - 3 + x + 5/x2 +2x - 15 = 3

2x + 2 = 3x2 + 6x - 75

3x2 + 4x - 77 = 0

Answer 2

Answer:

7 Year's

Step-by-step explanation:

Let Rehman's age be = "x" year's

Then 3 years ago, his age will be = $(x-3) year's$

5 year's from now, his age will be = $(x+5) Year's$

According to the question :

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

⇒$\frac{(x+5)+(x-3)}{(x-3)(x+5)}$

⇒$\frac{2x+2}{x^2+2x-15}=\frac{1}{3}$

⇒$6x+6=x^2+2x-15$

⇒$x^2+2x-15-6x-6=0$

⇒$x^2-4x-21=0$

⇒$x^2-7x+3x-21=0$

⇒$x(x-7)+3(x-7)=0$

⇒$(x+3)(x-7)=0$

⇒$x=-3(or)x=7$

Age cannot be negative

Therefore Rehman's present age (x)= 7 year's