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From the pair of linear equations in the following problems, 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 increase the length by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle.

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The correct Answer is:
17 units , 9 units
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