Question
Download Solution PDFLet x be the HM and y be the GM of two positive numbers m and n. If 5x = 4y, then which one of the following is correct?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
For any n numbers
GM =
HM =
Calculation:
GM of m and n = y
HM of m and n = x
Now given 5x = 4y
100mn = 16(m2 + n2 + 2mn)
16m2 + 16n2 - 68mn = 0
Let
16t +
16t2 - 68t + 16 = 0
t =
t =
t =
∴ m = 4n or n = 4m
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