document.write( "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?
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Algebra.Com's Answer #372874 by htmentor(1343)\"\" \"About 
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Let f = Faye's age
\n" ); document.write( "Her grandfather's age is 7 more than 6 times Faye's age
\n" ); document.write( "In equation form, her grandfather's age can be written as 6f + 7
\n" ); document.write( "The square of Faye's age is 9 more than her grandfather's:
\n" ); document.write( "f^2 = (6f+7) + 9
\n" ); document.write( "f^2 - 6f - 16 = 0
\n" ); document.write( "Factor:
\n" ); document.write( "(f-8)(f+2) = 0
\n" ); document.write( "Since Faye's age has to be positive, the answer is f=8
\n" ); document.write( "So Faye is 8 yrs old, her grandfather is 6*8 + 7 = 55 yrs old
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