Question

The sum of two numbers is 46 the difference is 16

Answer 1

Let the two numbers be represented by X and Y. Then we get the following SYSTEM of equations:
$x + y = 46 \\ x - y = 16$

We can subtract both formulas from each other to eliminate x.
$x - x + y - - y = 46 - 16$
$2y = 30$
Now, divide both sides by 2
$y = 15$

Given that X + Y = 46
$x + 15 = 46$
Subtract 15 from both sides
$x = 31$

Hence, X = 31 and Y = 15

Answer 2

31 and 15

31+15=46

31-15=16