Question:medium

If geometric mean and harmonic mean of two numbers are \(16\) and \(\frac{64}{5}\) respectively, then \(a:b\) is:

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Use \(GM^2 = ab\) and \(HM = \frac{2ab}{a+b}\) to solve for \(a\) and \(b\).

Updated On: Apr 16, 2026

\(4:1\)
\(3:2\)
\(2:3\)
\(1:4\)

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The Correct Option is A

Solution and Explanation

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If geometric mean and harmonic mean of two numbers are \(16\) and \(\frac{64}{5}\) respectively, then \(a:b\) is:

Show Hint

The Correct Option is A

Solution and Explanation

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