Question

Question 78 (i)

IF a and b vary inversely to each other, then find the values of p,q,r

Answer 1

It a and b vary inversely to each other.
i.e. ab = k (constant)

If a$=6andb=18Then,a\times b=6\times 18=108\Rightarrow k=108$
When$a=8andb=p,$ then
$ab=k\Rightarrow 8\times p=108\Rightarrow p=\frac{27}{2}$
When$a=qandb=39,$then
$ab=k\Rightarrow 8\times p=108\Rightarrow p=\frac{27}{2}$
When $a=qandb=39$ then
$ab=k\therefore q\times 39=108\Rightarrow q=\frac{108}{39}=\frac{36}{13}$
When$a=25andb=r,$then
$ab=k\Rightarrow 25\times r=108\Rightarrow r=\frac{108}{25}$