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Number theory Difficulty 2.0 Junior Find the answer United Kingdom

The tens digit of a two-digit number is three more than the units digit. When this two-digit number is divided by the sum of its digits, the answer is 7 remainder 3. What is the sum of the digits of the two-digit number?

(A) $5$ (B) $7$ (C) $9$ (D) $11$ (E) $13$

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