Geometric mean GM of 2 numbers how to find #shorts

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 geometric mean of three numbers was conputed as 6. It was subsequently found that, in this computation, a number 8 was wrongly read as 12. What is the correct geometric mean ?

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

The harmonic mean and the geometric mean of two numbers are 10 and 12 respectively. What is their arithmetic mean?

Statement 1: If the arithmetic mean of two numbers is 5/2 geometric mean of the numbers is 2, then the harmonic mean will be 8/5. Statement 2: For a group of positive numbers (GdotMdot)^2=(AdotMdot)(HdotMdot)dot

Let the harmonic mean and geometric mean of two positive numbers be in the ratio 4:5. Then the two numbers are in ratio............ (1992, 2M)

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.