exam Maths Puzzle Numerical Ability

A rectangular swimming pool is 2 m longer than it is wide. If the width is decreased by 3 m, and the length is increased by 4 m, the area remains the same as the original area. Find the original dimensions of the pool.

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a passenger train can travel 325 mi in the same time a freight train takes to travel 200 mi. if the rate of the express bus is 10 mi/h faster than that of the local bus, find the rate for each bus. Write each equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse or hyperbola. Then graph the equation.

9x^2-36x+36=4y^2+24y+72