The sum of the two natural numbers is 12 and their product is 35. What is the sum of the reciprocals of two numbers?
Question
The sum of the two natural numbers is 12 and their product is 35. What is the sum of the reciprocals of two numbers?
Solution
Let's denote the two natural numbers as x and y.
From the problem, we know that:
- x + y = 12
- xy = 35
We are asked to find the sum of the reciprocals of the two numbers, 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:
(12) / (35) = 0.34285714285714286
So, the sum of the reciprocals of the two numbers is approximately 0.343.
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