# What the ... problem!

$$p$$ and $$q$$ are the digits of a positive two digit integer such that $$p > q$$ and $$p-q=n.$$

If the 2 digit number $$\overline{pq}$$ is divided by the sum of its digit, the quotient is 7 and the remainder is $$n$$. Find the value of $$n$$.

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