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Red balls are arranged in rows to form an equilateral triangle. The first row consists of one ball; second row consists of two and so on up to n rows. If 669 more red balls are added, then all the balls can be arranged in the shape of a square and each of its sides then contains 8 balls less than each side of the triangle. Find the initial number of balls.

Answer» Red balls are arranged in rows to form an equilateral triangle. The first row consists of one ball; second row consists of two and so on up to n rows. If 669 more red balls are added, then all the balls can be arranged in the shape of a square and each of its sides then contains 8 balls less than each side of the triangle. Find the initial number of balls.


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