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

The harmonic mean and the geometric mean of two numbers are 10 and 12 respectively. What is their arithmetic mean? Correct Answer 14.4

Given :

The harmonic mean and the geometric mean of two numbers are 10 and 12 respectively

Concept used :

(Geometric mean)2 = Harmonic mean × Arithmetic mean 

Calculations :

according to the formula given above 

(12)2 = 10 × Arithmetic mean 

⇒ Arithmetic mean = 144/10 

⇒ 14.4 

∴ Option 4 will be the correct answer.

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