Question

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 . ​

Answer 1

Solution:- A - G = 2 ____(1)

G - G = 8/5 ______(2)

G² = A*H

= (G+2) (G - 8/5)

or, G = 8

or, ab = 64 ________(3)

from (1), we get

A = 10

=> a + b = 20 _____(4)

solving 3, 4 we get a = 4 and b = 16 or a = 16 and b = 4

f

Answer 2

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A - G = 2 ____(1)

G - G = 8/5 ______(2)

G² = A*H

= (G+2) (G - 8/5)

or, G = 8

or, ab = 64 ________(3)

from (1), we get

A = 10

=> a + b = 20 _____(4)

solving 3, 4 we get a = 4 and b = 16 or a = 16 and b = 4

f