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  4. Triangle ABC lies in the Cartesian plane and has an area of 70 sq. units. The coordinates of B and C are (12,19) and (23,20) respectively and the coordinates of A are (p, q). The line containing the median to the side BC has slope -5 . Find the largest possible value of (p+q).

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Q. Triangle $ABC$ lies in the Cartesian plane and has an area of $70 sq$. units. The coordinates of $B$ and $C$ are $(12,19)$ and $(23,20)$ respectively and the coordinates of $A$ are $(p, q)$. The line containing the median to the side $BC$ has slope -5 . Find the largest possible value of $(p+q)$.

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Solution:

Correct answer is '47'