Question

pls help me with this​

Answer 1

Answer:

x=10, y=5.

Step-by-step explanation:

Let the two numbers be x and y.

Difference if two numbers is 5.

x-y=5

x=5+y--------♡

Difference of their reciprocal is -1/10.

1/x-1/y=-1/10

(y-x)/xy= -1/10

[y-(5+y)/(5+y)y= -1/10

(y-5-y)/5y+y^2= -1/10

-5×10=-1(5y+y^2)

-50= -5y-y^2

y^2+5y-50=0

y^2+10y-5y-50=0

y(y+10)-5(y+10)=0

(y+10)(y-5)=0

y+10=0; y-5=0

y= -10 or y=5

If y=5,

x=5+y

x=5+5

x=10

HOPE THIS BRING A SMILE IN YOUR FACE