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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. | |