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If a, b, and c are positive integers, a > b > c, and a + b + c < 27, what is the maximum value for a?

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If <em>a</em>, <em>b</em>, and <em>c</em> are positive integers, <em>a</em> > <em>b</em> > <em>c</em>, and <em>a</em> + <em>b</em> + <em>c</em> < 27, what is the maximum value for <em>a</em>?






 
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