Question

The sum of the two digit number is 15 and sum of there reciprocal is 3/10 so find the no.

Answer 1

Let the two numbers be A and B

=>A+B=15 .............(1)

and

1/A +1/B=3/10

⇒(A+B)/AB = 3/10

from (1)

(A+B)/AB = 15/AB

⇒15/AB = 3/10

⇒AB = 50 ............(2)

solving (1) and (2)

A = 10 and B = 5

or

A = 5 and B = 10