Respuesta :

mhanifa

Answer:

  • Cameron is 13 and Avery is 8 years old

Step-by-step explanation:

Let Cameron's age be x and Avery's age be y.

The difference is 5 and the product is 104:

  • x - y = 5
  • xy = 104

Solve by substitution:

  • x = y + 5
  • xy = 104
  • y(y + 5) = 104
  • y² + 5y - 104 = 0
  • y = (- 5 ± √(5² + 4*104))/2 = (- 5 ± √441)/2 = ( - 5 ± 21)/2

Taking the positive root as age can't be negative:

  • y = 8

Find x:

  • x = 8 + 5 = 13

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