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 .

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

Find two numbers with sum 4 and product 2.

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

Insert two numbers between 3 and 81 iso that the resulting sequence is G . P

Insert two numbers between 3 and 81 so that the resulting sequence is a G.P.

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

Suppose that three numbers are in G.P The product of three numbers be 216.If 2.8.6 are added to them, the results are in A.P. then find the numbers

If H_(1),H_(2) are two harmonic means between two positive numbers a and b (aneb) , A and G are the arithmetic and geometric means between a and b, then (H_(2)+H_(1))/(H_(2)H_(1)) is

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

Three numbers are in G.P. whose sum is 70. If the extremes is each multiplied by 4 and the mean by 5, they will be in A.P. Then the sum of numbers is