Question

Find the values of x and y if a and b are in inverse proportion

$\begin{array}{cccc}a& 12& x& 8\\ b& 30& 5& y\end{array}$

Answer 1

In an inverse proportion,
When we multiply the first quantity by any constant k, then the another quantity is divided by the same constant k.
Given,
$\begin{array}{cccc}a& 12& x& 8\\ b& 30& 5& y\end{array}$
Here, we see that in part (b) when we divide 30 by 6, we will get 5.
So in part (a) we will get the value of x .
i.e. x $=12\times 6=72$
Similarly, in part (a) when we divide x i.e. 72 by 9, we will get 8. So in part (b), we will get the values of y.
i.e. y$=5\times 9=45$