Question 48610
Let the numbers be x and y
EQUATIONS:
1st:  x-y=1
2nd:  xy=1
 
x=y+1
(y+1)(y)=1
y^2+y-1=0

Use the quadratic formula to get:
y=[-1+-sqrt(1+4)]/2
y=(-1/2)+-(1/2)sqrt5

Substitute to solve for "x", as follows:
x-[(-1/2)+-(1/2)sqrt5]=1
x=1+(-1/2)+-(1/2)sqrt5
x=(1/2)+-(1/2)sqrt5

Cheers,
Stan H.