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UKMT Junior Kangaroo, 2018

Number theory Difficulty 2.0 Junior Find the answer United Kingdom

The five symbols @, *, #, & and ^ used in the equations below represent different digits. $@+@+@=*$ $\quad$ $\#+\#+\#=\wedge$ $\quad$ $*+\wedge=\&$ What is the value of &?

(A) $0$ (B) $2$ (C) $3$ (D) $6$ (E) $9$

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