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Number theory Difficulty 2.0 Junior Find the answer United Kingdom

Niall's four children have different integer ages under 18. The product of their ages is 882. What is the sum of their ages?

(A) $23$ (B) $25$ (C) $27$ (D) $31$ (E) $33$

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Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.