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Problem 653

AMC 10/12, early questions

Number theory Difficulty 3.0 Find the answer UKMT Junior Kangaroo · United Kingdom · 2022

There are more than 20 and fewer than 30 children in Miss Tree's class. They are all standing in a circle. Anna notices that there are six times as many children between her and Zara going round the circle clockwise, as there are going round anti-clockwise. How many children are there in the class?

(A) $23$ (B) $24$ (C) $25$ (D) $26$ (E) $27$

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