When the first quantity is 15, the second quality is 18. This means that the second quality is 3 more than the first quality.
If the first quantity is 10, what is the value of the second quantity?
10 + 3 = 13
Let the first quantity be y
Let the second quantity be x
Since the two quantities vary inversely, therefore, the first, y varies inversely to the second, x:
∴ .................................. (1)
where k is the constant of proportionality.
When the first, y = 15, the value of the second, x = 18
∴ From eqn (1), we have to find k
k = 15 x 18 = 270
Now, the value of the second quantity x, when the first y = 10 is
Making x subject of formular, we have
The value of the second quantity is 27
The value of second quantity is 27
Inverse variation can be represented by the equation xy=k or i.e,
y varies inversely as x , if there is some nonzero constant k such that, xy =k or where x≠0 and y≠0.
Given: Two quantities vary inversely.
Let x be the first quantity and y be the second quantity if they vary inversely.
then, by definition of inverse variation;
Substitute the value of x=15 and y=18 to solve for k;
Multiply both sides by 15 we have;
now, find the second quantity y using same method when x=10.
after substituting the value of x=10 and k=270 in  ;
Therefore, the second quantity value i.e,y = 27
15 = k/18
270 = k
10 = 270 /x
10 x = 270
x = 27
the second number is 27
hope this helps
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