Question

The sum of the reciprocal of Rehman's ages (in years) 3 year ago and 5 year from now is find his present age.​

Answer 1

Answer:

8

Step-by-step explanation:

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Answer 2

Given :-

Assume the age of Reham be m

★As per the situation we have :-

${\boxed{\sf\:{\dfrac{1}{m-3}+\dfrac{1}{m+5}=\dfrac{1}{3}}}} </p><p>m−3</p><p>1</p><p> </p><p> + </p><p>m+5</p><p>1</p><p> </p><p> = </p><p>3</p><p>1</p><p> </p><p>$

★After cross multiplication we get :-

3(m + 5) + 3(m - 3) = (m - 3)(m + 5)

3m + 15 + 3m - 9 = m² + 2m - 15

m² - 4m - 21 = 0

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

m - 7 = 0

m = 7

m + 3 = 0

m = -3

★As we know that age can't be in negative.

★Hence,

${\boxed{\sf\:{Rehman\;present\;age\;is\;7\;years}}} </p><p>Rehmanpresentageis7years$