Question

The sum of the reciprocals of
Rehman's ages (in yeays) 3 years ago
and 5 years from now is 1/3find his
present age​

Answer 1

Let the present age of Rehman = x

∴ 3 years ago Rehman’s age = (x – 3)

years 5 years later Rehman’s age = (x + 5)

years Now, according to the condition,

1/(x – 3 ) + 1/(x + 5) = 1/3

(x + 5 + x – 3)/(x – 3)(x + 5) = 1/3

(2x + 2)/(x2 – 3x +5x – 15) = 1/3

x2 + 2x – 15 = 6x + 6 x2 – 4x – 21 = 0

(x + 3)(x – 7) = 0

Either, x + 3 = 0 Or, x – 7 = 0

Thus, x = 7 or – 3;

Please please mark my answer as brainlist ❤️