Jackie is thinking of one number and Adrian is thinking of another. Camila thought if I take these two numbers, they have a product of 567 and a difference of six. Jackie’s number is higher than Adrian’s. What are Jackie’s and Adrian’s numbers?

Guest Jan 22, 2020

#1**+2 **

Jackies number is x and Adrians is y.

y=x-6

x*(x-6)=567

factor out

x^2+6x=567

Set right side to zero

x^2+6x-567=0

Now you want to use AC method and find the two factors that have a difference of 6 and product of 567 (in this case 27 and -21)

Then you can rewrite the equation as x^2+27x-21x-567=0

Factor this out to get x(x+27)-21(x+27)

x is then 27 or -21 and y is 21 or -27

Edit: Missunderstood question, corrected.

danne9000 Jan 22, 2020