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Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :
The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. if we increases the length by 3 unit and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle.

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