Let the amount of roses in the second yard be x. This means that the number of roses in the first yard would be x-10. If nine roses were transplanted from the second yard to the first one, the number of roses in the second yard would be x-9 and the number of roses in the first yard would be x-1. It is stated that now, there would be 2 times more roses in the first yard than the second one, which means that 2(x-9) = x-1, which simplifies to 2x-18 = x-1. Subtract both sides by x, and we get x-18 = -1. Add 18 to both sides, and we get x = 17, therefore, there are 17 roses in the second yard.
