Advertisements
Advertisements
Question
Find G.M. of two positive numbers whose A.M. and H.M. are 75 and 48.
Sum
Advertisements
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
shaalaa.com
Types of Means
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Find A.M. of two positive numbers whose G.M. and H.M. are 4 and `16/5`.
Find H.M. of two positive numbers whose A.M. and G.M. are `15/2` and 6.
Find two numbers whose A.M. exceeds their G.M. by `1/2` and their H.M. by `25/26`.
Find two numbers whose A.M. exceeds G.M. by 7 and their H.M. by `63/5`.
If M is the arithmetic mean of two distinct real number l and n (I, n > 1) and G1, G2 and G3 are three geometric means between l and n, then `G_1^4 + 2G_2^4 + G_3^4` is equal to ______.
If log2 x + log2 y ≥ 6, then the least value of x + y is ______.
