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Puzzle 121
This year, Farmer Stone's harvest of apples was quite significant.
He decided to donate some of the apples to the local community, 1,672 people in all.
Every person aged 50 or more received 16 apples, and every person under 50 received 96 apples.
Only 3/4 of the over 50s collected their apples, and only 1/8 of the under 50s collected theirs.
Reasoning
If we denote Alex by A, Billie by B, Charlie by C, and Drew by D and number the clues.
If Alex had three more sheep, then he'd have one fewer sheep than Billie.Whereas Drew has the same number as the other three shepherds put together.If Charlie had three fewer sheep, he'd have exactly three times the number of Alex.If they were evenly distributed, they'd each have eleven sheep.
By (4): A + B + C + D = 44
And, by (2), these are shared equally between A + B + C and D.
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