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

1.

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

Answer»

A.M. = 75, H.M. = 48

Now, (G.M.)² = (A.M.) (H.M.)

∴ (G.M.)² = 75 × 48

∴ (G.M.)² = 25 × 3 × 16 × 3

∴ (G.M.)² = 5² × 4² × 3²

∴ G.M. = 5 × 4 × 3

∴ G.M. = 60

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