The two numbers whose arithmetic mean is 34 and their geometric mean is 16 are:

60, 8 34, 34 64, 4 40, 28

64, 4

Take the help from options = If we choose option = 3 So, the numbers are = 64, 4 arithmetic mean = \(\frac{64 + 4}{2}\) = 34 and geometric mean = \(\sqrt {64 × 4}\) = 16 Both the values of arithmetic mean and geometric mean are satisfying the given values. So the numbers are = 64, 4