Question

The sum of Rehman's age reciprocal (in years) 3years ago & 5years from now is 1/3. Find his present age .
Maths Genius buddies plz answer... I need it for my tomorrow's SSC exam..!!!​

Answer 1

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Let the age of Rahman be x years.           ------------- (1)

Rehman's three years ago age will be x - 3.    ----- (2)

Rehman's 5 years age will be x + 5.               ---------- (3)


Given, the sum of reciprocals of (1),(2),(3) will be  1/3.

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

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

2x+2/(x-3)(x+5) = 1/3

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

x^2 + 2x -15  - 6x - 6 = 0

x^2 - 4x - 21 = 0

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

x = 7 or x = -3.

The value of x cannot be -ve.

So, the present age of Rehman is 7 years.


Hope this helps!

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Answer 2

let the present age of Rahman be x

three years ago age x-3

five years ago age x-5

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

1/(x-3) +(1+2) /(x-3) =1/3

4/(x-3) =1/3

4×3=(x-3) 

9=x-3

x=12