SOLUTION: The sum of two numbers is 12. Three times the product of the number is 105. What are the numbers?

Question 27769: The sum of two numbers is 12. Three times the product of the number is 105. What are the numbers?

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let the two numbers be a and b.
You can write two equations from the problem description.
Solve this one for a and substitute into the second equation.

Simplify and solve for b.
Subtract 105 from both sides of the equation.
Multiply through by -1.
Factor out a 3.
Apply the zero products principle.
Factor this quadratic equation.
Apply the zero products principle again.
and/or
If then
If then
The two numbers are: 5 and 7

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