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Product Problem

 The product of one more than a number with five less than that number is two less than three halves of the number.

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Problem by Mr. Twitchell


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Christmas Tree Puzzle

Each member of my family (myself, my wife, and my non-adult children) gives one present to every other member of the family. Each child in my family has 4 living grandparents, and each adult has 3 living grandparents and no living great grandparents. All grandparents give each of their grandchildren 2 gifts, and the great-grandparents give each of their great-grandchildren three gifts. Every child in the family gives each pet one gift, and there are twice as many pets as their are children in the family. We all pitched in together and bought an extra present in case any strangers came to the door on Christmas day.

As it turns out, there are enough Christmas presents so we could open one every day for a year (not a leap year!).

How many children do I have?

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