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P _ L _ S Clue
THE MATHEMATICIAN MADE A SMALL FENCE AROUND HIMSELF AND DECLARED HIMSELF TO BE ON THE OUTSIDE USE 4 HALF FILLED BARRELS TO FILL 2 EMPTY BARRELS. WE ARE THEN LEFT WITH 9 FULLY FILLED BARRELS, 3 HALF FILLED BARRELS AND 9 EMPTY BARRELS. EACH SON GETS 3 FULL BARRELS, 1 HALF-FULL BARREL, AND 3 EMPTY BARRELS HIS YOUNGER BROTHER WAS 6. LET HIS AGE BE X, DIMPLE'S AGE BE Y, AND HIS FATHER'S AGE BE Z. THEN Z=3Y, Z=X2, Y=2X. SO 6X=X2 AND X=6 104 POLES. THE FOUR CORNER POLES ARE COMMON TO BOTH SIDES, SO WE HAVE: 25 POLES X 4 SIDES + 4 CORNER POLES = 104 POLES