Question
Download Solution PDFIf the harmonic mean of 60 and x is 48, then what is the value of x?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula used:
For n terms, a1, a2, a3, ……., an.
Harmonic mean = \(\rm \frac{n}{\frac{1}{a_{1}} + \frac{1}{a_{2}} + \frac{1}{a_{3}} + ....... \frac{1}{a_{n}} }\)
If b is the Harmonic mean of a and b then
b = 2ab/(a + b)
Calculation:
Given, The harmonic mean of 60 and x is 48
According to the formula used
\(\rm \frac{2\times 60x}{x + 60} = 48\)
⇒ 120x = 48(x + 60)
⇒120x = 48x + 2880
⇒ 120x - 48x = 2880
⇒ x = 40
∴ The value of x is 40.
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