Question
There were some buttons in Bag Y and Bag Z. After Cole transferred 13 of the buttons from Bag Y to Bag Z, the ratio of the number of buttons in Bag Y to that in Bag Z changed to 1 : 7. Find the ratio of the numbers of buttons in Bag Z to the number of buttons in Bag Y at first.
3 m

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There were some buttons in Bag Y and Bag Z. After Cole transferred 13 of the buttons from Bag Y to Bag Z, the ratio of the number of buttons in Bag Y to that in Bag Z changed to 1 : 7. Find the ratio of the numbers of buttons in Bag Z to the number of buttons in Bag Y at first.