Answer asap

in the first yard there are 10 roses less than in the second one. if 9 roses were transplanted from the second yard to the first one, then the first yard would have 2 times more roses than the second one. how many roses are there in the second yard?

17

Step-by-step explanation:

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.