Question

Let x be the A.M. and y, z be two G.M.s between two positive numbers. Then, y³+z³/xyz is equal to

A. 1

B. 2

C. 1/2

D. none of these

Answer 1

Let the numbers be a,b.

a,x,b = 2x = a+b

a,y,z,b = y² = az ; z² = by [a,b,c GM = b² = ac]