Question

the sum of reciprocal of Rahman's age 3 years ago and 5 years from now 1/3 find his present age​

Answer 1

Step-by-step explanation:

$let \: the \: age \: of \: rahman \: be \: x : \\ according \: to \: the \: question \: \\ \frac{1}{(x - 3)} + \frac{1}{(x + 5)} = \frac{1}{3} \\ \frac{x + 5 + x - 3}{(x - 3)(x + 5)} = \frac{1}{3} \\ \frac{2x + 2}{ {x}^{2} + 5x - 3x - 15} = \frac{1}{3} \\ \frac{2x + 2}{ {x}^{2} + 2x - 15 } = \frac{1}{3} \\ now \: cross \: multiply : \\ 3(2x + 2) = {x}^{2} + 2x - 15 \\ 6x + 6 = {x}^{2} + 2x - 15 \\ 0 = {x}^{2} + 2x - 6x - 15 - 6 \\ 0 = {x}^{2} - 4x - 21 \\ 0 = {x}^{2} -7x + 3x - 21 \\ 0 = x(x - 7) + 3(x - 7) \\ 0 = (x + 3)(x - 7) \\ x = - 3 \: , \: 7$

HOPE THIS HELPS

MARK ME BRAINLIEST