According to the problem, one number is x, while another number is 2x and their product is 2048
x * (2x) = 2048,
2x^2 = 2048
x^2 = 2048/2 = 1024
x = sqrt(1024) = +/- 32.
ANSWER. The numbers are 32 and 64 OR -32 and -64.