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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?

 Jan 22, 2020
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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.

 Jan 22, 2020
edited by danne9000  Jan 22, 2020

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