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AMC 12 2001 Problem 6

  • Paper

A telephone number has the form ABC-DEF-GHIJ\text{ABC-DEF-GHIJ}, where each letter represents a different digit. The digits in each part of the number are in decreasing order; that is, A>B>CA > B > C, D>E>FD > E > F, and G>H>I>JG > H > I > J. Furthermore, DD, EE, and FF are consecutive even digits; GG, HH, II, and JJ are consecutive odd digits; and A+B+C=9A + B + C = 9. Find AA.

(A) 4(B) 5(C) 6(D) 7(E) 8\text{(A)}\ 4 \text{(B)}\ 5 \text{(C)}\ 6 \text{(D)}\ 7 \text{(E)}\ 8

Dataset text AMC 12 2000 to 2025. Quoted with source.

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E

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