Question

the difference of two natural number is 5 and the difference of their reciprocal is 1/10.find the numbers .

Answer 1

 a-b =5

 

means 5/ab = 1/10 means ab=50

 

Now. (a+b)2= (a-b)2 +4ab

 

hence 

 

(a+b)2= (5)2 +4×50

 

a+b = ±15

Answer 2

Heya

let the first natural no be x

second will be y

then ac to artist
x-y =5____--_______(1)


and again 1/x-1/y=1/10_________2)

x-y/x●y=1/10
xy=5
now,
x-y=50___-_(1)

x+y=√(x-y)^2+4xy
x+y=5^2+50*4

x+y=√225_---;--;----(3)
x+y=+-15
from 1 and 3 each other.

x-y=5
x+y=-15 if it is negative
_____
2x=10
x=5
and y=10

and.if it is -15
then
x-y=5
x+y=15
_____
2x=20
x=10
and y=5ans

hope it help you

@rajukumar.