The sum of two numbers is 25 and their product is 144. What will be the sum of their reciprocals?
Question
The sum of two numbers is 25 and their product is 144. What will be the sum of their reciprocals?
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.
The sum of the reciprocals can be rewritten as (x + y) / (xy).
Substituting the given values into this equation, we get:
(25) / (144) = 0.1736111111
So, the sum of the reciprocals of the two numbers is approximately 0.174.
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