The sum of two numbers is 25 and their product is 144. What will be the sum of their reciprocals?Options :25/14423/11422/113None of these
Question
The sum of two numbers is 25 and their product is 144. What will be the sum of their reciprocals?Options :25/14423/11422/113None of these
Solution
Let's denote the two numbers as x and y.
From the problem, we know that:
- x + y = 25
- xy = 144
We are asked to find the sum of their reciprocals, which is 1/x + 1/y.
We can rewrite 1/x + 1/y as (x + y) / (xy).
Substituting the given values from the problem into this equation, we get:
(25) / (144) = 25/144
So, the sum of their reciprocals is 25/144.
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