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Algebra Difficulty 1.0 Junior Find the answer United Kingdom

The difference between $\dfrac{1}{3}$ of a certain number and $\dfrac{1}{4}$ of the same number is 3. What is that number?

(A) $24$ (B) $36$ (C) $48$ (D) $60$ (E) $72$

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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.