Mathematics

"Suppose you have two numbers. The difference of the two numbers is 12. The product of the two numbers is 17. Multiply the larger of the two numbers by 100, add 50 times the smaller number to that, round the total to the nearest whole number, and that's my price."

How much does she want for the Ghostkerbomb?
ANSWER
Let the two number is x and y (x>y)
Then
x-y=12...(1)
xy=17...(2)
So y(12+y)=17
y^2+12y-17=0
y=1.2801 or -13.2801 (rejected)
x=13.2801 or -1.2801 (rejected)
The price
=100*(13.2801)+50(1.2801)
=1392 (round the total to the nearest whole number)
So the price she want for the Ghostkerbomb is $1392