If the A.M. between two numbers exceeds their G.M by 2 and the G.M exceeds their H.M. by 8/5 find the numbers .

Insert three A.M.s between 11 and 14

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

If the AM and GM between two numbers are 34 and 16 respectively. Find the numbers.

Suppose that a and b are two positive numbers so that their difference is 12. If their A.M exceeds their G.M by 2, prove that a+b-2sqrt(ab)=4

The A.M. of two given positive number is 2 . If he larger number is increased by 1 the G.M. of the numbers becomes equal to the A.M. of the given number . Then find the H.M.

Suppose that a and b are two positive numbers so that their difference is 12and whose AM exceeds GM by 2. Prove that a = 16, b = 4

Sum of the squares of the first n natural numbers exceeds their sum by 330 then find n.

If AM and GM of two numbers are 10 and 8 respectively, find the numbers.

The HM of two numbers is 4. Their AM is A and GM is G. If 2A+G^(2)=27 , then A is equal to

The sum of two numbers is 6 times their G.M. Show that the numbers are in the ratio (3+2sqrt2):(3-2sqrt2)