​ Let x be the A.M. and y, z be two G.M.s between two positive numbers. Then, y^3+x^3/xyz is euqal to A. 1 B. 2 C. 1/2 D. none of these ​

Question

Let x be the A.M. and y, z be two G.M.s between two positive numbers. Then, \(\frac{y^3 + z^3}{xyz}\) is euqal 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]