Question

the sum of the reciprocal of rahim's ages 5 years ago and 3 years from now is 1/3 find rahim's present age ​

Answer 1

Step-by-step explanation:

let Rahim's present age be X

then his age 5 years ago be X-5

after 3years his age be 1/3 of X

ats

2 (X-5)=1/3of x

then take out the answer

Answer 2

Step-by-step explanation:

let the rahim's age = x

5 years ago = x-5

3 years from now = x+3

A.T.Q

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

LCM of (x-5)and (x+3) = (x-5)(x+3)

so....

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

now....

$\frac{2x - 2}{ {x}^{2} + ( - 5 + 3)x + ( - 5 \times 3) } = \frac{1}{3}$

$\frac{2x - 2}{ {x}^{2} - 2x - 15 } = \frac{1}{3}$

by cross multiply....

(2x-2) *3 = (x²-2x-15)1

6x -6 = x²-2x -15

6x+2x = x² +6-15

8x = x²-9

0= x² +8x-9

0 = x² -9x + x -9

0 = x(x-9)+1 ( x-9)

0= (x+1)(x-9)

0= x+1 and 0 = x-9

-1 = x and 9 =x

so the age must not be in negative we will prefer ... 9

the age of rahim is = 9

thank you

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