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AHSME 1999 Problem 22

    The graphs of y=−∣x−a∣+by = -|x-a| + b and y=∣x−c∣+dy = |x-c| + d intersect at points (2,5)(2,5) and (8,3)(8,3). Find a+ca+c. (A) 7(B) 8(C) 10(D) 13(E) 18\mathrm{(A) \ } 7 \mathrm{(B) \ } 8 \mathrm{(C) \ } 10 \mathrm{(D) \ } 13 \mathrm{(E) \ } 18

    Dataset text NuminaMath-1.5. Quoted with source.

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