If the ratio of harmonic mean of two numbers to their geometric mean is 12 : 13, find the ratio of the numbers.
A
49 or 94
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B
23 or 32
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C
25 or 52
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D
None of these
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Solution
The correct option is A49 or 94 Harmonic mean of two numbers = 2aba+b Geometric mean of two numbers = √ab 2√aba+b=1213 √abab+1=613 Solve using options. Clearly, option (a) satisfies. Hence, option (a) is the answer.