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 the two numbers

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.

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

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

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

The arithmetic mean A of two positive numbers is 8. The harmonic mean H and the geometric mean G of the numbers satisfy the relation 4H + G^(2) = 90 . Then one of two numbers is _____.

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 of two positive numbers a and b is 4, their arithmetic mean is A and the geometric mean is G. If 2A+G^(2)=27, a+b=alpha and |a-b|=beta , then the value of (alpha)/(beta) is equal to