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15 Questions 60 Marks 12 Mins
Given
Geometric mean = 8
Harmonic mean = 6.4
Formula used
Geometric mean = √ab
Harmonic mean = 2ab/(a + b)
Calculation
Let the two number be x and y
√xy = 8
⇒ xy = 64 ---(i)
We also know, 2xy/(x + y) = 6.4
⇒ x + y = 20 ---(ii)
From (i) and (ii)
⇒ 64/y + y = 20
⇒ y2 - 20y + 64 = 0
⇒ y = 4, -16
So, x = 16 and y = 4
∴ The required answer is 4, 16
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