Question

the sum of two matural numbers is 11. find the numbers, if the sum of their reciprocal is 11/30​

Answer 1

let x,y be the natural numbers

x+y =11-----eq 1

1/x + 1/y = 11/30

after solving we will get xy=30-----eq 2

after solving 1 and 2

we get x=5 and y=6

Answer 2

Let the numbers be x,11-x
Therefore 1/x+1/11-x=11/30
(11-x+x)/x(11-x) = 11/30
11/x(11-x) =11/30


X(11-x)=30
X=5 ,6
If x=5 then other number is 6and if x=6 then other number is 5