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Find H.M. of two positive numbers whose A.M. and G.M. are 152 and 6. - Mathematics and Statistics

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Question

Find H.M. of two positive numbers whose A.M. and G.M. are `15/2` and 6.

Sum

Solution

A.M. = `15/2`, G.M. = 6

Now, (G.M.)2 = (A.M.) (H.M.)

∴ 62 = `15/2 xx "H.M"`

∴ H.M. = `36 xx 2/15`

∴ H.M. = `24/5`

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Chapter 4: Sequences and Series - EXERCISE 4.4 [Page 60]

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