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UKMT Senior Mathematical Challenge, 2025

Number theory Difficulty 2.0 Junior Find the answer United Kingdom

Sonia writes down three 2-digit numbers whose sum is 46. The first number is prime, the second is square and the third is even. What is the even number?

(A) $10$ (B) $12$ (C) $14$ (D) $16$ (E) $18$

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