Consecutive Integers

Number Theory Level pending

Two sets $$\{a_n\}$$ and $$\{b_n\}$$ of 4 consecutive positive integers have exactly one integer in common. Let

• $$A$$ denote the sum of the integers in $$\{a_n\}$$, which is the set with the greater numbers, and
• $$B$$ denote the sum of the integers in $$\{b_n\}$$.

Find $$A-B$$.

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