Maths Olympiad Prep

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UKMT Maclaurin Olympiad, 2020

Algebra Difficulty 2.0 Junior Prove it United Kingdom

A bag contains counters, of which ten are coloured blue and YY are coloured yellow. Two yellow counters and some more blue counters are then added to the bag. The proportion of yellow counters in the bag remains unchanged before and after the additional counters are placed into the bag.

Find all possible values of YY.

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