Question

if x and y vary inversely and x=32 when y=15,find y when x = 60

Answer 1

Here's the solution to your question.

Answer 2

$\mathfrak{Step-By-Step\:Explanation:}\\\\\\\underline{\bold{Given\:in\;the\;Question:}}\\\\\\\bold{x\propto\dfrac{1}{y}}$

when y = 15 then x = 32.

To Find : y = ? if x = 60.

A/Q,

$\bold{x\propto\dfrac{1}{y}}\\\\\\\implies\bold{x=\dfrac{k}{y}}\\\\\\\underline{\textbf{Putting the value of x and y.}}\\\\\\\implies\bold{k=xy}\\\\\\\implies\bold{k=32\times 15}\\\\\\\implies\bold{k=480.}$

Now we have :

• x = 60

Again A/Q,

$\bold{x\propto\dfrac{1}{y}}\\\\\\\implies\bold{x=\dfrac{k}{y}}\\\\\\\implies\bold{60=\dfrac{480}{y}}\\\\\\\implies\bold{y=\dfrac{480}{60}}\\\\\\\implies\bold{y=8.}\\\\\\\boxed{\boxed{\bold{The\:value\:of\:y=8.}}}$