The sum and the multiplication of two numbers are 11 and 18 gradually. Find the sum of their inverse.
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The sum and the multiplication of two numbers are 11 and 18 gradually. Find the sum of their inverse.

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SOLUTION :

Let the numbers are $x$ and $y$.

$\begin{array}{c}\therefore \quad x+y=11 \\x y=18\end{array}$

Dividing eqn. 1 by 2 ,

$\begin{aligned}& \frac{x+y}{x y}=\frac{11}{18} \\\therefore \quad & \frac{1}{y}+\frac{1}{x}=\frac{11}{18} ; \text { Ans. }\end{aligned}$

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