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UKMT Junior Mathematical Challenge, 2026

Number theory Difficulty 1.0 Junior Find the answer United Kingdom

The letters $p$ , $q$ and $r$ represent digits. The sum of the two-digit numbers ‘ $pq$ ’ and ‘ $pr$ ’ is $75$ . What is the value of $p + q + r$ ?

(A) $12$ (B) $14$ (C) $15$ (D) $16$ (E) $18$

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