Question

THE Sum of two numbers is 12 12 and
Sum of their resprocals is 4/9
find the
numbers
​

Answer 1

Answer:

The numbers are 3,9.

Step-by-step explanation:

Given,

Let the two numbers be x,y

The sum of numbers is 12.

i.e.,x+y=12

The sum of their reciprocals is 4/9.

i.e.,1/x+1/y=4/9

x+y/xy=4/9----(1)

But we know,,x+y=12

12/xy=4/9

xy=3*9=27.

x+y=12

x=12-y

(12-y)y=27

12y-y²=27

y²-12y+27=0

y²-9y-3y+27=0

y(y-9)-3(y-9)=0

(y-9)(y-3)=0

y=3,9

Hope this helps you..