Discussion of Question with ID = 029 under Problems-on-Ages

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Question

The sum of reciprocals of my ages 8 years back and 8 years later is ${70/1161}$. What is my present age?

A

35 years.

B

36 years.

C

34 years.

D

37 years.

Soln.
Ans: a

Let the present age be x. Then $1/{x + 8} + 1/{x - 8}$ = ${70/1161}$. At this stage a better option is that you try putting the given answers into this expression one by one. The other option is to simplify this expression into a quadratic equation ${2x}/{x^2 - 64}$ = ${70/1161}$. This can now be solved to give x = 35 years.


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