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The following three sets A,B and C satisfy A ⊂ B and C ⊂ A:

A={x∣(x−3)(x^2−20x+75)>0},
B={x∣x>α},
C={x∣x>β}.

If the maximum value of α is a and the minimum value of β is b,

what is the value of a+b?

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