SOLUTION: jim and mary think of a number. marys number is 8 more than jim's number. the product of the two numbers is 65. what is jims number

Question 348805: jim and mary think of a number. marys number is 8 more than jim's number. the product of the two numbers is 65. what is jims number
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
Aparantly the problem is beyond what you have learned in class.
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M=the number Mary thinks about.
J=the number Jim thinks about.
Mary's number equals Jim's number plus 8.
M=J+8
The product of the two numbers is 65
MJ=65 Replace M in this equation with (J+8) & solve for J.
(J+8)J=65
J^2+8J-65=0
(J+13)(J-5)=0
J+13=0
J=-13 ANS.
M=-13+8=-5 ANS.
J-5=0
J=5 ANS.
M=5+8=13 ANS.
PROOF:
-13*-5=65
65=65
13*5=65
65=65
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