What are the two numbers if their sum is 19 and their difference is 7?

To solve for the two numbers based on the conditions given in the question, we can use a bit of algebra. Let’s denote the two numbers as x and y.

We are provided with two key pieces of information:

Now, we can solve these equations step by step.

We have:

We can start by solving for x in terms of y using Equation 1:

x = 19 – y

Next, we can substitute this expression for x into Equation 2:

(19 – y) – y = 7

Now, simplify the equation:

19 – 2y = 7

To isolate y, subtract 19 from both sides:

-2y = 7 – 19

-2y = -12

Now, divide both sides by -2:

y = 6

Now that we have y, we can find x using the equation x = 19 – y:

x = 19 – 6

x = 13

The two numbers you are looking for are 13 and 6. To verify:

Therefore, the two numbers that satisfy the conditions are indeed 13 and 6.