Correct Option: D

Given in question , arithmetic mean of two numbers is 5 and geometric mean is 4.
Let the two numbers be a and b. Then,

Arithmetic mean =	a + b	= 5
	2

⇒ a + b = 10
and Geometric mean = √ab = 4
On squaring in ( 1) both sides , we get
ab = 16 ...(i)
We know that , (a – b)² = (a + b)² – 4ab
⇒ (a – b)² = 100 – 64 = 36
⇒ a – b = 6 ...(ii)
Solving Eqs. (i) and (ii) ,we get
Hence , a = 8 and b = 2