Question 122798
If x is the larger and y the smallest then y=x-2 because are consecutive odds
then 2x^2-(x-2)^2=41
 then x^2+4x-4=41 then x^2+4x-45=0 then x=5 or x=-9
 so x=5 and y=x-2=3

The numbers are  5 and 3

Check:

twice the square of the larger is 2(5^2)=50
the square of the smaller is 3^2=9

so the twice the square of the larger minus the square of the smaller is 41