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Find G.M. of two positive numbers whose A.M. and H.M. are 75 and 48. - Mathematics and Statistics

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Question

Find G.M. of two positive numbers whose A.M. and H.M. are 75 and 48.

Sum

Solution

A.M. = 75, H.M. = 48
∵ (G.M.)2 = (A.M.) (H.M.)
∴ (G.M.)2 = 75 x 48
= 25 x 3 x 16 x 3
= 52 x 42 x 32
∴ G.M. = 5 x 4 x 3
∴ G.M. = 60

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

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