Let \( \alpha \) and \( \beta \) be two numbers where \( \alpha\bet...

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Let \( \alpha \) and \( \beta \) be two numbers where \( \alpha\beta \).
\( \mathrm{P} \) The geometric mean of these numbers

W. exceeds the smaller number \( \alpha \) by 12 and the arithmetic mean of the same numbers is smaller by 24 than the larger number \( \beta \), then the value of \( |\beta-\alpha| \) is
(1) 40
(2) 42
(3) 44
(4) 48
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