Question

The sum of the reciprocal of Rehmans age 3years ago &5years from now is1/3.Find his present age

Answer 1

Answer:

Step-by-step explanation:

Let lresent age of rehman be x years

Age of rehman 3years ago = x-3

Age of rehman 5 years hence= x+5

According to given condition

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

(x-3)+(x+5)÷(x-3)(x+5)=1/3

2x+2/ x^2+2x-15=1/3

3(2x+2)=x^2+2x-15

6x+6=x^2+2x-15

0=x^2+2x-6x-15-6

0=x^2-4x-21

i.e.x^2-4x-21=0

x^2-7x+3x-21=0

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

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

X=7or x=-3

But age cannot be negative

Therefore , x=7

Rehmans present age is 7 years