This is equivalent to saying the product of the two numbers is 16^2 = 256 and the sum of the 2 numbers is 2*34 = 68. The numbers are the solutions to the quadratic

x(68-x) = 256

This has solutions

x = 34 ± √(1156-256)

x = 34 ± 30

x(68-x) = 256

This has solutions

x = 34 ± √(1156-256)

x = 34 ± 30