The arithmetic mean and geometric mean of two numbers

The arithmetic mean and geometric mean of two numbers are 14 and 12 respectively. What is the harmonic mean of the numbers?

  1. 32/3
  2. 10
  3. 72/7
  4. 13

Solution

G2 = AH

H = G2/A

H = 12*12/14 = 72/7

The correct option is C.