**Q. The sum of the reciprocals of Rehman’s ages (in years) 3 years ago and 5 years from now is 1/3 . Find his present age.**

**Ans: **Let’s consider Rehman’s present age be X

Hence, his age 3 years ago = X – 3 and his age 5 years from now = X + 5

by given condition*: sum of reciprocals of his age 3 years ago & 5 years from now is 1/3*

By applying “splitting the middle term” method,

Therefore, X = 7 and X = – 3

Here, we reject X = – 3, because age can not be negative, and accept only X = 7

**Therefore, Rehman’s present age is 7 years.**

**Check:**

*If Rehman’s present age is 7 years, his age 3 years ago was 7 – 3 = 4 years and 5 years later will be 7 + 5 = 12 years*

*Sum of reciprocals of 4 and 12, we get: *

*Since it meets our given condition, hence our answer is correct.*

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