SOLUTION: C is 3 years younger than D. The product of their ages is 88. How old is each?

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Question 76040This question is from textbook Algebra 1 Expressions, Equations, and Applications
: C is 3 years younger than D. The product of their ages is 88. How old is each? This question is from textbook Algebra 1 Expressions, Equations, and Applications

Answer by rmromero(383) About Me  (Show Source):
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C is 3 years younger than D. The product of their ages is 88. How old is each?



Representation:

  Let    x = age of D

     x - 3 = age of C





Equation



    x(x - 3) = 88

    x^2 - 3x = 88

    x^2 - 3x - 88 = 0

   (x - 11) (x + 8) = 0



  x - 11 = 0         x + 8 = 0

    x = 11             x = -8



No age that is negative so we reject the solution x = -8



Therefore D's age is 11 and C is 8.



 11- 3 = age of C



   8  = age of C





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