The sum of two numbers is 36 and their H.C.F and L.C.M. are 3 and 105 respectively. The sum of the reciprocals of two numbers is
let's say numbers are $$x$$ and $$y$$
hence sum of the reciprocals will be  $$\frac{1}{x} + \frac{1}{y}$$
or $$\frac{x +y}{xy}$$
as $$x+y$$ = 36 (given)
and $$xy$$ = $$HCF \times LCM$$
         = $$3 \times 105 = 315$$
after putting the values we will get summation of reciprocals equals to $$\frac{4}{35}$$
Create a FREE account and get:
Detailed syllabus & Topic-wise Weightage
By proceeding you agree to create your account
Free CAT Syllabus PDF will be sent to your email address soon !!!
