Question

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

Answer 1

3 into 5 upon 3

The answer you got is the solution

Answer 2

$\Large{\textbf{\underline{\underline{According\;to\;the\;Question}}}}$

Assumption,

Present age of Rahman = p years

His age 3 years ago = p - 3 years

Also,

His age five years hence = p + 5 years

Now,

Situation :-

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

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

(p - 3)(p + 5) = 6(p + 1)

p² + 2p - 15 = 6p + 6

p² - 4p - 21 = 0

p² - 7p + 3p - 21 = 0

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

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

p - 7 = 0 or p + 3 = 0

p = 7, - 3 (Negative value is not applicable)

So,

p = 7

Therefore,

Present age of rahman = 7 years