Pool dimensions

A rectangular swimming pool of constant depth is twice as long as it is wide, but the owner is unhappy with the dimensions of the pool.

The length is reduced by 12 units and the width is increased by 10 units. When this is done, the modified pool will hold exactly the same volume of water.

What were the pool's original dimensions?

-Ray.

15 units by 30 units (area = 450 units^2)
changed to 25 units by 18 units (area = 450 units^2)

(Although you may argue that the length is now 25 and the width 18, in which case it can't be done!)

Originally posted by garethn
15 units by 30 units (area = 450 units^2)
changed to 25 units by 18 units (area = 450 units^2)

(Although you may argue that the length is now 25 and the width 18, in which case it can't be done!)

Obviously correct.

-Ray.

trick question because the original pool might not be filled to the max or even dry