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