Answer:
38, 18
Step-by-step explanation:
In order to solve this, we need to use what is called a simultaneous equation.
Lets call our two numbers a and b.
We know that:
[tex]ab=684\\\\\\a+b=56[/tex]
So we pick an equation to rearrange for either a or b Lets say the 2nd one.
[tex]a=56-b\\[/tex]
Now, we plug this equation into the other one, and expand it into a quadratic and solve.
[tex]b(56-b)=684\\-b^2+56b=684\\\\-b^2+56b-684=0\\[/tex]
Using the quadratic equation, we get that the answer is 38 and 18.
