Question

The sum of two numbers is 16 .The sum of their reciprocal is ⅓.Find the numbers.

Answer 1

Step-by-step explanation:

Ans : 4,12

Hint :

Let the the parts be x and y

x+y=16

⇒

x

1

+

y

1

=

3

1

⇒

xy

16

=

3

1

⇒y

2

−16y+48=0

⇒(y−12)(y−4)=0

⇒y=4 x=12,or y=12,x=4