Question

The sum of the reciprocal of rahman's age in years 3 years ago and 5 years from now is 1 by 3 find his present age

Answer 1

Answer:

rehman's present age is 7 year

Step-by-step explanation:

let the present age of rehman = x

then rehman's 3 year ago age = (x - 3)

and rehman's 5 year ago agd = (x - 5)

A.T.Q

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

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

[x + 5 + x - 3]/[x² + 5x - 3x - 15] = 1/3

[2x + 2]/[x² + 2x - 15] = 1/3

3[2x + 2] = x² + 2x - 15

6x + 6 = x² + 2x - 15

x² + 2x - 15 - 6x - 6 = 0

x² - 4x - 21 = 0

x² - (7 - 3)x - 21 = 0

x² - 7x + 3x - 21 = 0

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

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

x + 3 = 0 , x - 7 = 0

x = -3 , x = 7

age is not in negative

so rehman present age is 7 year

Answer 2

Answer:

Please refer the attachment dear