Sequence And Series Question 320
Question: The harmonic mean between two numbers is and the geometric mean 24. The greater number them is
[UPSEAT 2004]
Options:
A) 72
B) 54
C) 36
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
Let two number $ a $ and $ b $ We know that $ H=\frac{G^{2}}{A}\Rightarrow \frac{72}{5}=\frac{576}{A} $
$ \Rightarrow $ $ A=40 $ $ a+b=80 $ ?..(i) and $ ab=576 $ $ a-b=64 $ ?..(ii) On solving equation (i) and equation (ii), $ a=72 $ , $ b=8 $ Maximum Number 72.
BETA
