## Fermat 2024 Part A - Question 4, CEMC UWaterloo

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#### Difficulty: 3

#### This problem is tagged with fermat, fermat24, highschool.

**(Fermat 2024, Part A, Question 4, CEMC - UWaterloo)**

Shuxin begins with $10$ red candies, $7$ yellow candies, and $3$ blue candies. After eating some of the candies, there are equal numbers of red, yellow, and blue candies remaining. What is the smallest possible number of candies that Shuxin ate?

$(A)$ $11$

$(B)$ $7$

$(C)$ $17$

$(D)$ $20$

$(E)$ $14$

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