# Kindly provide me example of problem solving on special products and factoring

1
by kylanicol

• Brainly User
2015-08-27T02:08:55+08:00

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Alden is three years older than Yaya Dub.  The product of their ages is 460.  Determine their ages.
Let       x       age of Yaya Dub
x + 3  age of Alden

460     product of their ages

Equation:
(x) (x + 3) = 460

x² + 3x = 460

x² + 3x - 460 = 0     Product (Special Product/Quadratic Trinomial)

Solve by factoring:
(x - 20) (x+23) = 0     Factor

Solve for x:
x-20 = 0                   x+23 = 0

x1 = 20                     x2 = -23

Choose the positive x-value:       x1 = 20
Determine their ages:  Substitute 20 for x
Age of Yaya Dub:    x = 20              Age of Alden:  x + 3
(20) + 3 = 23