If H.M. and G.M. of two positive numbers are in the ratio 12 : 13, then the numbers are in the ratio

If H.M. and G.M. of two positive numbers are in the ratio 12 : 13, then the numbers are in the ratio

  1. A

    1 : 2 

  2. B

    2 : 3

  3. C

    3 : 5 

  4. D

    4 : 9

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    Solution:

    2aba+b:ab=12:13  2aba+b=1213

    ab+ba=136

    ab=23or 32a:b=4:9 or 9:4

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