and the geometric mean 24. The greater number them is [UPSEAT 2004]
A) 72
B) 54
C) 36
D) None of these
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.
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