Question
There were some cards in Bag Y and Bag Z. After Vincent transferred 13 of the cards from Bag Y to Bag Z, the ratio of the number of cards in Bag Y to that in Bag Z changed to 3 : 5. Find the ratio of the numbers of cards in Bag Y to the number of cards in Bag Z at first.
3 m

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There were some cards in Bag Y and Bag Z. After Vincent transferred 13 of the cards from Bag Y to Bag Z, the ratio of the number of cards in Bag Y to that in Bag Z changed to 3 : 5. Find the ratio of the numbers of cards in Bag Y to the number of cards in Bag Z at first.