Question

the sum of two natural numbers is 15. if the sum of their reciprocals is 5/18 then find the numbers.​

Answer 1

Answer:

6 and 9

Step-by-step explanation:

Let one of the numbers be x.

Other number is (15 - x)

Sum of their reciprocals = 5/18

1/x + 1/(15 - x) = 5/18

(15 ) / (15x - x2) = 5/18

270 = 75x - 5x2

5x2 - 75x + 270 = 0

x2 - 15x + 54 = 0

(x - 6)(x -9) = 0

x = 6 or 9

Answer 2

Answer is 6,9

1/X+1/15-x=5/18 after solving this in final step we will get as

X=6,X=9