Let the two numbers be represented by X and Y. Then we get the following SYSTEM of equations:
[tex]x + y = 46 \\ x - y = 16[/tex]
We can subtract both formulas from each other to eliminate x.
[tex]x - x + y - - y = 46 - 16[/tex]
[tex]2y = 30[/tex]
Now, divide both sides by 2
[tex]y = 15[/tex]
Given that X + Y = 46
[tex]x + 15 = 46[/tex]
Subtract 15 from both sides
[tex]x = 31[/tex]
Hence, X = 31 and Y = 15
