Question

The sum of two numbers is 8 and the sum of their reciprocal is 8/15. Find the numbers.

Answer 1

Step-by-step explanation:

let

two numbers be x and y

x+y=8 and

1/x + 1/y = 8/15

and solve it using simultaneous method

Answer 2

Answer:

let 1 no =x

----2----=y

x+y=8            ------eg. 1 

   ;     1/x+1/y  = 8/15  i.e (x+y)/xy=8/15  

thus xy=15   now from eq.1, x=8-y putting here in this eq.

(8-y)*y=15

8y-y2=15    =    y2-8y+15=0

solving we get y=5 or y=3

so nos. are 5,3