SOLUTION: Feye's grandfather is seven more than six times Faye's age.The square of Faye's age is nine more than her grandfather's age.What are their age now?
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Question 584727: Feye's grandfather is seven more than six times Faye's age.The square of Faye's age is nine more than her grandfather's age.What are their age now?
You can put this solution on YOUR website! Let f = Faye's age
Her grandfather's age is 7 more than 6 times Faye's age
In equation form, her grandfather's age can be written as 6f + 7
The square of Faye's age is 9 more than her grandfather's:
f^2 = (6f+7) + 9
f^2 - 6f - 16 = 0
Factor:
(f-8)(f+2) = 0
Since Faye's age has to be positive, the answer is f=8
So Faye is 8 yrs old, her grandfather is 6*8 + 7 = 55 yrs old