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In an isosceles triangle ABC, the vertex A is (6, 1) and the equation of the base BC is 2x + y = 4. Let the point B lie on the line x + 3y = 7. If ( α , β ) is the centroid of Δ ABC, then 15( α + β ) is equal to :

1. 39
2. 41
3. 51
4. 63

Correct answer: 51

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