The harmonic mean of two numbers is 4. Their arithmetic mean `A` and the geometric mean `G` satisfy the relation `2A+G^2=27.` Find two numbers.

Find two numbers whose arithmetic mean is 34 and the geometric mean is 16.

The harmonic mean of 4,8,16 is

If a is the arithmetic mean and g is the geometric mean of two numbers, then

The arithmetic mean of two positive numbers is 6 and their geometric mean G and harmonic mean H satisfy the relation G^(2)+3H=48 . Then the product of the two numbers is

The harmonic mean between two numbers is 21/5, their A.M. ' A ' and G.M. ' G ' satisfy the relation 3A+G^2=36. Then find the sum of square of numbers.

If the arithmetic means of two positive number a and b (a gt b ) is twice their geometric mean, then find the ratio a: b

Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation

Let a be a positive number such that the arithmetic mean of a and 2 exceeds their geometric mean by 1. Then the value of a

The sum of two numbers is 6 times their geometric mean, show that numbers are in the ratio (3+2sqrt2):(3-2sqrt2)