Question 76040
<pre>
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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